الرياضيات التطبيقية بعض كتب الاحصاء والاحتمالات Probability and statistics

المصدر: بعض كتب الاحصاء والاحتمالات Probability and statistics
في منتدى : قسم الرياضيات

بعض كتب الاحصاء والاحتمالات Probability_and_statistics

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(5th Edition)
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Number Of Pages: 514
Publication Date: 1997-08-18
Sales Rank: 559905
Binding: Hardcover ​

Book Description: ​

This market-leading introduction to probability features exceptionally clear explanations of the mathematics of probability theory and explores its many diverse applications through numerous interesting and motivational examples. The outstanding problem sets are a hallmark feature of this book. Provides clear, complete explanations to fully explain mathematical concepts. Features subsections on the probabilistic method and the maximum-minimums identity. Includes many new examples relating to DNA matching, utility, finance, and applications of the probabilistic method. Features an intuitive treatment of probability—intuitive explanations follow many examples. The Probability Models Disk included with each copy of the book, contains six probability models that are referenced in the book and allow readers to quickly and easily perform calculations and simulations.​

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A_Treatise_on_Probability ​

Number Of Pages: 480
Publication Date: 2008-02-05
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Contents
1 Discrete Probability Distributions 1
1.1 Simulation of Discrete Probabilities . . . . . . . . . . . . . . . . . . . 1
1.2 Discrete Probability Distributions . . . . . . . . . . . . . . . . . . . . 18
2 Continuous Probability Densities 41
2.1 Simulation of Continuous Probabilities . . . . . . . . . . . . . . . . . 41
2.2 Continuous Density Functions . . . . . . . . . . . . . . . . . . . . . . 55
3 Combinatorics 75
3.1 Permutations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
3.2 Combinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92
3.3 Card Shuffling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
4 Conditional Probability 133
4.1 Discrete Conditional Probability . . . . . . . . . . . . . . . . . . . . 133
4.2 Continuous Conditional Probability . . . . . . . . . . . . . . . . . . . 162
4.3 Paradoxes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175
5 Distributions and Densities 183
5.1 Important Distributions . . . . . . . . . . . . . . . . . . . . . . . . . 183
5.2 Important Densities . . . . . . . . . . . . . . . . . . . . . . . . . . . 205
6 Expected Value and Variance 225
6.1 Expected Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225
6.2 Variance of Discrete Random Variables . . . . . . . . . . . . . . . . . 257
6.3 Continuous Random Variables . . . . . . . . . . . . . . . . . . . . . . 268
7 Sums of Random Variables 285
7.1 Sums of Discrete Random Variables . . . . . . . . . . . . . . . . . . 285
7.2 Sums of Continuous Random Variables . . . . . . . . . . . . . . . . . 291
8 Law of Large Numbers 305
8.1 Discrete Random Variables . . . . . . . . . . . . . . . . . . . . . . . 305
8.2 Continuous Random Variables . . . . . . . . . . . . . . . . . . . . . . 316
9 Central Limit Theorem 325
9.1 Bernoulli Trials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 325
9.2 Discrete Independent Trials . . . . . . . . . . . . . . . . . . . . . . . 340
9.3 Continuous Independent Trials . . . . . . . . . . . . . . . . . . . . . 356
10 Generating Functions 365
10.1 Discrete Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . 365
10.2 Branching Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . 376
10.3 Continuous Densities . . . . . . . . . . . . . . . . . . . . . . . . . . . 393
11 Markov Chains 405
11.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 405
11.2 Absorbing Markov Chains . . . . . . . . . . . . . . . . . . . . . . . . 416
11.3 Ergodic Markov Chains . . . . . . . . . . . . . . . . . . . . . . . . . 433
11.4 Fundamental Limit Theorem . . . . . . . . . . . . . . . . . . . . . . 447
11.5 Mean First Passage Time . . . . . . . . . . . . . . . . . . . . . . . . 452
12 Random Walks 471
12.1 Random Walks in Euclidean Space . . . . . . . . . . . . . . . . . . . 471
12.2 Gambler’s Ruin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486
12.3 Arc Sine Laws . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 493​

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(Graduate_Texts_in_Mathematics)
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Number Of Pages: 621
1995-12-08
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Book Description: ​

This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks, martingales, Markov chains, ergodic theory, weak convergence of probability measures, stationary stochastic processes, and the Kalman-Bucy filter. Many examples are discussed in detail, and there are a large number of exercises. The book is accessible to advanced undergraduates and can be used as a text for self-study. This new edition contains substantial revisions and updated references. The reader will find a deeper study of topics such as the distance between probability measures, metrization of weak convergence, and contiguity of probability measures. Proofs for a number of some important results which were merely stated in the first edition have been added. The author included new material on the probability of large deviations, and on the central limit theorem for sums of dependent random variables.​

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Elementary_Probability_2nd edition​

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Number Of Pages: 536
Publication Date: 2003-08-18
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Book Description:
This fully revised and updated new edition of the well established textbook affords a clear introduction to the theory of probability. Topics covered include conditional probability, independence, discrete and continuous random variables, generating functions and limit theorems, and an introduction to Markov chains. The text is accessible to undergraduate students and provides numerous examples and exercises to help develop the important skills necessary for problem solving. ​

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The_Pleasures_of_Probability

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Number Of Pages: 268
Publication Date: 1996-10-30
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Product Description: ​

The purpose of "Th is to introduce some of the most fundamental ideas in classical probability to a fairly general audience - reaching from mathematical amateurs to scientists, from students to professional mathematicians. The only prerequisites required are a decent background in elementary algebra and an interest in discussions of a variety of problems and applications in probability. The style is informal, and the chapters are more like essays on a particular topic than textbook treatments. Even well-known problems are often covered in more depth than usual in order to illustrate underlying ideas. The book can be used as a text for a first course in probability or as a companion to a text. Each chapter ends with a few problems, the answers to which are given at the end of the book.​

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Introduction_to_Probability
2nd Edition
Problem_Solutions
by
Dimitri_P_Bertsekas_and_John_N_Tsitsiklis​

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Probability_Foundations_of_Economic_Theory
By_Charles_McCann​

Product Description: ​

Concepts of probability are an integral component of economic theory. However there are a wide range of theories of probability and these are manifested in different approaches to economic theory itself. In this book provides a clear and informative survey of the area which serves to standardize terminology and so integrate probability into a discussion of the foundations of economic theory.​

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Introduction_to_Probability_Models
By_Sheldon_M_Ross​

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Probability_and_Random_Processes
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By_Venkatarama_Krishnan​

password: twilightzone ​

 

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One_Thousand_Exercises_in_Probability
By_Geoffrey_R._Grimmett_ David_R._Stirzaker​

Book Description: ​

This book is a revised, updated and greatly expanded version of the authors' "Probability and Random Processes: Problems and Solutions", first published in 1992. The 1000+ exercises contained within are not merely drill problems but have been chosen to illustrate the concepts, illuminate the subject, and both inform and entertain the student. Topics cover a broad range of subjects, including: elementary aspects of probability and random variables; sampling; Markov chains; convergence; stationary processes; renewals; queues; Martingales; diffusion; mathematical finance and the Black-Scholes model. This text is intended for general use, and to serve students as a companion text for elementary, intermediate and advanced courses in probability and random processes. Useful for anyone needing a large source of problems in these areas and at all levels. This book also acts as a companion volume to the new edition of Probability and Random Processes 3/e, (OUP - 2001), providing the solutions for the problems and exercises.

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Probability_and_Random_Processes
By_Geoffrey_R._Grimmett_David_R_Stirzaker​

Book Description: ​

This third edition of this successful text gives a rigorous and extensive introduction to probability theory and an account in some depth of the most important random processes. It includes various topics which are suitable for undergraduate courses, but are not routinely taught. It is suitable for students of probability at all levels. There are four main aims: 1) to provide a thorough but straightforward account of basic probability, giving the reader a natural feel for the subject unburdened by oppressive technicalities, 2) to discuss important random processes in depth with many examples. 3) to cover a range of important but less routine topics, 4) to impart to the beginner the flavour of more advanced work. The book begins with basic ideas common to many undergraduate courses in mathematics, statistics and the sciences; it concludes with topics usually found at graduate level. The ordering and numbering of material in this third edition has been mostly preserved from the second. Minor alterations and additions have been added for clearer exposition. Highlights include new sections on sampling and Markov chain Monte Carlo, geometric probability, coupling and Poisson approximation, large deviations, spatial Poisson processes, renewal-reward, queuing networks, stochastic calculus​

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Understanding_Probability_Chance_Rules_in_Everyday_Life
By_Henk_Tijms​

Number Of Pages: 452
Publication Date: 2007-08-06
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