How Long to Read Marginal and Functional Quantization of Stochastic Processes

How Long Does it Take to Read Marginal and Functional Quantization of Stochastic Processes?

It takes the average reader 15 hours and 47 minutes to read Marginal and Functional Quantization of Stochastic Processes by Harald Luschgy

Assuming a reading speed of 250 words per minute. Learn more

Description

Vector Quantization, a pioneering discretization method based on nearest neighbor search, emerged in the 1950s primarily in signal processing, electrical engineering, and information theory. Later in the 1960s, it evolved into an automatic classification technique for generating prototypes of extensive datasets. In modern terms, it can be recognized as a seminal contribution to unsupervised learning through the k-means clustering algorithm in data science. In contrast, Functional Quantization, a more recent area of study dating back to the early 2000s, focuses on the quantization of continuous-time stochastic processes viewed as random vectors in Banach function spaces. This book distinguishes itself by delving into the quantization of random vectors with values in a Banach space—a unique feature of its content. Its main objectives are twofold: first, to offer a comprehensive and cohesive overview of the latest developments as well as several new results in optimal quantization theory, spanning both finite and infinite dimensions, building upon the advancements detailed in Graf and Luschgy's Lecture Notes volume. Secondly, it serves to demonstrate how optimal quantization can be employed as a space discretization method within probability theory and numerical probability, particularly in fields like quantitative finance. The main applications to numerical probability are the controlled approximation of regular and conditional expectations by quantization-based cubature formulas, with applications to time-space discretization of Markov processes, typically Brownian diffusions, by quantization trees. While primarily catering to mathematicians specializing in probability theory and numerical probability, this monograph also holds relevance for data scientists, electrical engineers involved in data transmission, and professionals in economics and logistics who are intrigued by optimal allocation problems.

How long is Marginal and Functional Quantization of Stochastic Processes?

Marginal and Functional Quantization of Stochastic Processes by Harald Luschgy is 918 pages long, and a total of 236,844 words.

This makes it 310% the length of the average book. It also has 289% more words than the average book.

How Long Does it Take to Read Marginal and Functional Quantization of Stochastic Processes Aloud?

The average oral reading speed is 183 words per minute. This means it takes 21 hours and 34 minutes to read Marginal and Functional Quantization of Stochastic Processes aloud.

What Reading Level is Marginal and Functional Quantization of Stochastic Processes?

Marginal and Functional Quantization of Stochastic Processes is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Marginal and Functional Quantization of Stochastic Processes?

Marginal and Functional Quantization of Stochastic Processes by Harald Luschgy is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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