Information-Theoretic Methods for Estimating Complicated Probability Distributions [With CDROM]

افزودن به بوکمارک اشتراک گذاری 0 دیدگاه کاربران 5 (0)

مشارکت: عنوان و توضیح کوتاه هر کتاب را ترجمه کنید این ترجمه بعد از تایید با نام شما در سایت نمایش داده خواهد شد.

ترجمه این کتاب مشاهده همه کتاب های ترجمه نشده

از خودتان درباره کتاب توضیح کوتاهی بنویسید

Mixing up various disciplines frequently produces something that are profound and far-reaching. Cybernetics is such an often-quoted example. Mix of information theory, statistics and computing technology proves to be very useful, which leads to the recent development of information-theory based methods for estimating complicated probability distributions.
Estimating probability distribution of a random variable is the fundamental task for quite some fields besides statistics, such as reliability, probabilistic risk analysis (PSA), machine learning, pattern recognization, image processing, neural networks and quality control. Simple distribution forms such as Gaussian, exponential or Weibull distributions are often employed to represent the distributions of the random variables under consideration, as we are taught in universities. In engineering, physical and social science applications, however, the distributions of many random variables or random vectors are so complicated that they do not fit the simple distribution forms at al.
Exact estimation of the probability distribution of a random variable is very important. Take stock market prediction for example. Gaussian distribution is often used to model the fluctuations of stock prices. If such fluctuations are not normally distributed, and we use the normal distribution to represent them, how could we expect our prediction of stock market is correct? Another case well exemplifying the necessity of exact estimation of probability distributions is reliability engineering. Failure of exact estimation of the probability distributions under consideration may lead to disastrous designs.
There have been constant efforts to find appropriate methods to determine complicated distributions based on random samples, but this topic has never been systematically discussed in detail in a book or monograph. The present book is intended to fill the gap and documents the latest research in this subject.
Determining a complicated distribution is not simply a multiple of the workload we use to determine a simple distribution, but it turns out to be a much harder task. Two important mathematical tools, function approximation and information theory, that are beyond traditional mathematical statistics, are often used. Several methods constructed based on the two mathematical tools for distribution estimation are detailed in this book. These methods have been applied by the author for several years to many cases. They are superior in the following senses:
(1) No prior information of the distribution form to be determined is necessary. It can be determined automatically from the sample;
(2) The sample size may be large or small;
(3) They are particularly suitable for computers.
It is the rapid development of computing technology that makes it possible for fast estimation of complicated distributions.
The methods provided herein well demonstrate the significant cross influences between information theory and statistics, and showcase the fallacies of traditional statistics that, however, can be overcome by information theory.
Key Features:
- Density functions automatically determined from samples
- Free of assuming density forms
- Computation-effective methods suitable for PC

- density functions automatically determined from samples
- Free of assuming density forms
- Computation-effective methods suitable for PC

لغو

گزارش تخلف

مغایرت عنوان کتاب با توضیحات و تصویر جلد
عدم رعایت حقوق نشر طبق قوانین جمهوری اسلامی ایران
محتوای مستهجن
توهین به قومیتها و محتوای نژادپرستی
توهین به اقیلیتهای مذهبی
اهانت به مقامات سیاسی و مذهبی
اشاعه ی کودک آزاری
سایر موارد

بستن

فرمت کتاب

ebook

زبان

english

تاریخ انتشار

2006

نویسنده

Zhi Zong

ناشر

Elsevier Science & Technology

شابک

9780444527967

20,000 تومان

خرید کتاب مطالعه نمونه درخواست ترجمه کتاب

خرید کتاب Information-Theoretic Methods for Estimating Complicated Probability Distributions [With CDROM]

Information-Theoretic Methods for Estimating Complicated Probability Distributions [With CDROM]

گزارش تخلف

فرمت کتاب

ebook

زبان

english

تاریخ انتشار

2006

نویسنده

ناشر

شابک

کتاب های مرتبط

Convergence Estimates in Approximation Theory

Convergence estimates in approximation theory

Convergence Estimates in Approximation Theory

Discrete calculus methods for counting

Granular computing in decision approximation : an application of rough mereology

Excursions in harmonic analysis. Volume 3 : the February fourier talks at the Norbert Wiener Center

Affine Diffusions and Related Processes : Simulation, Theory and Applications

Distributions

Approximately Calculus

Fourier Analysis Of Numerical Approximations Of Hyperbolic Equations

Fourier Analysis Of Numerical Approximations Of Hyperbolic Equations

Numerical Methods for Special Functions

Geometric Properties for Incomplete Data

Frontiers in Interpolation and Approximation

Numerical Linear Approximation in C [With CDROM]

Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics

<div class=vernacular lang="ru">Метод F-аппроксимации при решении задач гравиметрии и магнитометрии /</div> Metod F-approksimat︠s︡ii pri reshenii zadach gravimetrii i magnitometrii

Approximate Solutions Of Operator Equations

Introduction to methods of approximation in physics and astronomy

Introduction to methods of approximation in physics and astronomy

Numerische Methoden der Approximationstheorie. Band 4, Vortragsauszüge der Tagung über Numerische Methoden der Approximationstheorie vom 13.-19. November 1977 im Mathematischen Forschungsinstitut Oberwolfach (Schwarzwald)

دیدگاه کاربران