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Discretization of Processes (Stochastic Modelling and Applied Probability, 67)

Penned By Jean Jacod
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73,789 Global Ratings
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Discretization of Processes (Stochastic Modelling and Applied Probability, 67)

Penned By Jean Jacod
4.85 73,789 Ratings
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Editor's Note:
In applications, and especially in mathematical finance, random time-dependent events are often modeled as stochastic processes. Assumptions are made about the structure of such processes, and serious researchers will want to justify those assumptions through the use of data. As statisticians are wont to say, "In God we trust; all others must bring data." This book establishes the theory of how to go about estimating not just scalar parameters about a proposed model, but also the underlying structure of the model itself. Classic statistical tools are used: the law of large numbers, and the central limit theorem. Researchers have recently developed creative and original methods to use these tools in sophisticated (but highly technical) ways to reveal new details about the underlying structure. For the first time in book form, the authors present these latest techniques, based on research from the last 10 years. They include new findings. This book will be of special interest to researchers, combining the theory of mathematical finance with its investigation using market data, and it will also prove to be useful in a broad range of applications, such as to mathematical biology, chemical engineering, and physics.

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Released October 22, 2011
Identifier (ISBN) 14642025
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Jean Jacod
The Mind Behind the Work
Jean Jacod

Jean Jacod is a writer and avid reader based in the Pacific Northwest. Before pursuing writing full-time, they spent over a decade working in education. When not working on their next book, Jean Jacod can usually be found hiking with their dog or trying out new coffee shops in their neighborhood.

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Margaret Ramirez
Margaret Ramirez February 08, 2024
"I thoroughly enjoyed the elegance of it. The middle had a deliberate pace, but the climax was phenomenal. A solid 4 stars from me."
Christopher Turner
Christopher Turner February 16, 2025
"A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. I would highly recommend this to discerning readers."
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Donna  Davis
Donna Davis December 23, 2024
"Excellent, though slightly flawed. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend."
Christopher Harris
Christopher Harris January 14, 2025
"Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre."
Donna  Davis
Donna Davis October 15, 2025
"A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. A solid 4 stars from me."
Mark Phillips
Mark Phillips September 17, 2024
"A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
Stephanie Jackson
Stephanie Jackson November 06, 2024
"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Richard Phillips
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Mark  Davis
Mark Davis August 02, 2024
"Honestly one of the most premium reading experiences lately. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author."
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Ashley Flores
Ashley Flores July 18, 2024
"Absolutely brilliant. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
George Jones
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"Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars."
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"I thoroughly enjoyed the elegance of it. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel."
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"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
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"Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre."
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Christopher Wilson
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"Honestly one of the most premium reading experiences lately. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
Kimberly  Davis
Kimberly Davis April 08, 2025
"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
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"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author."
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"Absolutely brilliant. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author."
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"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel."
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"Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
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"I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. A very distinguished novel."
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"I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
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"A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend."
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"Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author."
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"Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. Worth every moment spent reading."
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Edward Rodriguez January 06, 2024
"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
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"Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
Sandra Rodriguez
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"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
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"I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
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"I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
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"A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre."
Edward Rodriguez
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"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Paul Mitchell
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"Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre."
Stephanie Jackson
Stephanie Jackson April 01, 2024
"I thoroughly enjoyed the elegance of it. The middle had a deliberate pace, but the climax was phenomenal. A solid 4 stars from me."
Deborah Anderson
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Andrew Scott
Andrew Scott November 05, 2024
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"A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author."
Sharon Green
Sharon Green October 08, 2024
"Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
Mark Turner
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"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre."
Rebecca Carter
Rebecca Carter May 11, 2025
"A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. Quite impressive overall."
Eric Young
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"A very strong entry. The middle had a deliberate pace, but the climax was phenomenal. A solid 4 stars from me."
Nancy Hall
Nancy Hall June 14, 2024
"I find myself somewhat conflicted. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. Perfectly average."
Edward Carter
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Karen Perez
Karen Perez April 08, 2024
"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
John Collins
John Collins July 08, 2024
"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars."
Steven Thompson
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"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
Melissa Hernandez
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"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
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Barbara Wilson August 03, 2025
"Such a rich narrative. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
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"Absolutely brilliant. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
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Nicholas Jackson November 10, 2024
"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
Joshua Brown
Joshua Brown March 13, 2025
"I thoroughly enjoyed the elegance of it. A brilliant concept executed with flair. Just a few pacing choices I would change. I would highly recommend this to discerning readers."
Margaret Jackson
Margaret Jackson July 14, 2025
"Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A wonderful companion for a quiet weekend."
Jacob Mitchell
Jacob Mitchell June 19, 2024
"Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
Andrew Adams
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"A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre."
Betty Torres
Betty Torres July 18, 2024
"A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars."
Susan Clark
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"Took a moment to build, but the payoff was spectacular. The protagonist was compelling, though some subplots felt slightly overshadowed. A solid 4 stars from me."
Dorothy Reyes
Dorothy Reyes February 24, 2024
"A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre."
Laura Torres
Laura Torres January 26, 2025
"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
Joseph Nelson
Joseph Nelson December 31, 2024
"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
Kimberly Lopez
Kimberly Lopez November 06, 2024
"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
Mark  Davis
Mark Davis September 16, 2025
"It was adequate. The prose was competent, yet the characters lacked the depth I usually seek. Unlikely to reread, but a reasonable expenditure of time."
Ashley Torres
Ashley Torres October 28, 2025
"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
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Jacob Sanchez July 21, 2025
"I was completely blown away. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece."
Sharon Lewis
Sharon Lewis October 26, 2025
"Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
Eric Baker
Eric Baker March 12, 2024
"Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
Elizabeth Gomez
Elizabeth Gomez July 09, 2024
"I find myself somewhat conflicted. Certain acts were fascinating, while others felt like a slight endeavor to complete. Perhaps more aligned with a different audience's tastes."
Carol Wright
Carol Wright December 21, 2024
"I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
Laura Edwards
Laura Edwards January 03, 2024
"Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars."
Sarah Flores
Sarah Flores July 29, 2025
"Excellent, though slightly flawed. The protagonist was compelling, though some subplots felt slightly overshadowed. Quite impressive overall."
Joseph Hall
Joseph Hall March 26, 2024
"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
Charles Sanchez
Charles Sanchez July 18, 2025
"A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
Sandra Ramirez
Sandra Ramirez April 25, 2025
"Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre."
Joshua Cruz
Joshua Cruz December 17, 2024
"I thoroughly enjoyed the elegance of it. The middle had a deliberate pace, but the climax was phenomenal. A solid 4 stars from me."
Lisa Green
Lisa Green November 01, 2024
"Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Thomas Jones
Thomas Jones August 07, 2024
"A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
Melissa Diaz
Melissa Diaz March 09, 2024
"A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading."
Rebecca Diaz
Rebecca Diaz September 20, 2025
"Took a moment to build, but the payoff was spectacular. The protagonist was compelling, though some subplots felt slightly overshadowed. A solid 4 stars from me."
Ashley Torres
Ashley Torres December 27, 2024
"Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre."
Dorothy Baker
Dorothy Baker April 29, 2025
"A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel."
Richard Lopez
Richard Lopez December 23, 2024
"Took a moment to build, but the payoff was spectacular. The protagonist was compelling, though some subplots felt slightly overshadowed. I would highly recommend this to discerning readers."
Donna Anderson
Donna Anderson November 15, 2025
"I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. I would highly recommend this to discerning readers."
Edward Robinson
Edward Robinson November 27, 2024
"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem."
Anthony Hall
Anthony Hall June 20, 2025
"Not entirely to my refined tastes. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. Suitable if your reading queue is empty."
Michelle Gomez
Michelle Gomez July 28, 2024
"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece."
Stephanie Torres
Stephanie Torres May 13, 2024
"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
Richard Lopez
Richard Lopez January 12, 2025
"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
David Rodriguez
David Rodriguez January 02, 2024
"Not entirely to my refined tastes. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. Unlikely to reread, but a reasonable expenditure of time."
Joseph Roberts
Joseph Roberts March 10, 2025
"An acceptable diversion. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. Perhaps more aligned with a different audience's tastes."
Kenneth Sanchez
Kenneth Sanchez November 13, 2025
"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Margaret Brown
Margaret Brown February 03, 2024
"A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Jacob Turner
Jacob Turner December 20, 2024
"I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
John Diaz
John Diaz October 10, 2024
"Not entirely to my refined tastes. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. Perfectly average."
Patricia Garcia
Patricia Garcia October 07, 2024
"Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem."
George Jones
George Jones October 12, 2025
"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars."
Steven Jackson
Steven Jackson December 19, 2025
"Absolutely brilliant. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author."
Kevin Collins
Kevin Collins April 10, 2024
"A very strong entry. The protagonist was compelling, though some subplots felt slightly overshadowed. A very distinguished novel."
Jessica Martin
Jessica Martin September 14, 2024
"Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author."
Jacob Anderson
Jacob Anderson February 27, 2025
"Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
Eric Young
Eric Young January 02, 2024
"I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars."
Donald Campbell
Donald Campbell September 24, 2025
"Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A solid 4 stars from me."
Barbara Green
Barbara Green November 20, 2025
"Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
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