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درصورت عدم همخوانی توضیحات با کتاب
از ساعت 7 صبح تا 10 شب
ویرایش: 10th
نویسندگان: Ross. Sheldon
سری:
ISBN (شابک) : 9780134753119, 0134753119
ناشر: Pearson
سال نشر: 2018
تعداد صفحات: 848
زبان: English
فرمت فایل : PDF (درصورت درخواست کاربر به PDF، EPUB یا AZW3 تبدیل می شود)
حجم فایل: 6 مگابایت
کلمات کلیدی مربوط به کتاب دوره اول احتمال.: ریاضیات -- احتمالات و آمار -- عمومی
در صورت تبدیل فایل کتاب First Course in Probability. به فرمت های PDF، EPUB، AZW3، MOBI و یا DJVU می توانید به پشتیبان اطلاع دهید تا فایل مورد نظر را تبدیل نمایند.
توجه داشته باشید کتاب دوره اول احتمال. نسخه زبان اصلی می باشد و کتاب ترجمه شده به فارسی نمی باشد. وبسایت اینترنشنال لایبرری ارائه دهنده کتاب های زبان اصلی می باشد و هیچ گونه کتاب ترجمه شده یا نوشته شده به فارسی را ارائه نمی دهد.
این نسخه شامل فهرست مطالب با پیوند به فصل ها و بخش ها می باشد.
This version contains the table of contents with links to chapters and sections.
1. COMBINATORIAL ANALYSIS 1.1 Introduction 1.2 The Basic Principle of Counting 1.3 Permutations 1.4 Combinations 1.5 Multinomial Coefficients 1.6 The Number of Integer Solutions of Equations Summary Problems Theoretical Exercises Self-Test Problems and Exercises 2. AXIOMS OF PROBABILITY 2.1 Introduction 2.2 Sample Space and Events 2.3 Axioms of Probability 2.4 Some Simple Propositions 2.5 Sample Spaces Having Equally Likely Outcomes 2.6 Probability as a Continuous Set Function 2.7 Probability as a Measure of Belief Summary Problems Theoretical Exercises Self-Test Problems and Exercises 3. CONDITIONAL PROBABILITY AND INDEPENDENCE 3.1 Introduction 3.2 Conditional Probabilities 3.3 Bayes’s Formula 3.4 Independent Events 3.5 P(·|F) Is a Probability Summary Problems Theoretical Exercises Self-Test Problems and Exercises 4. RANDOM VARIABLES 4.1 Random Variables 4.2 Discrete Random Variables 4.3 Expected Value 4.4 Expectation of a Function of a Random Variable 4.5 Variance 4.6 The Bernoulli and Binomial Random Variables 4.7 The Poisson Random Variable 4.8 Other Discrete Probability Distributions 4.9 Expected Value of Sums of Random Variables 4.10 Properties of the Cumulative Distribution Function Summary Problems Theoretical Exercises Self-Test Problems and Exercises 5. CONTINUOUS RANDOM VARIABLES 5.1 Introduction 5.2 Expectation and Variance of Continuous Random Variables 5.3 The Uniform Random Variable 5.4 Normal Random Variables 5.5 Exponential Random Variables 5.6 Other Continuous Distributions 5.7 The Distribution of a Function of a Random Variable Summary Problems Theoretical Exercises Self-Test Problems and Exercises 6. JOINTLY DISTRIBUTED RANDOM VARIABLES 6.1 Joint Distribution Functions 6.2 Independent Random Variables 6.3 Sums of Independent Random Variables 6.4 Conditional Distributions: Discrete Case 6.5 Conditional Distributions: Continuous Case 6.6 Order Statistics 6.7 Joint Probability Distribution of Functions of Random Variables 6.8 Exchangeable Random Variables Summary Problems Theoretical Exercises Self-Test Problems and Exercises 7. PROPERTIES OF EXPECTATION 7.1 Introduction 7.2 Expectation of Sums of Random Variables 7.3 Moments of the Number of Events that Occur 7.4 Covariance, Variance of Sums, and Correlations 7.5 Conditional Expectation 7.6 Conditional Expectation and Prediction 7.7 Moment Generating Functions 7.8 Additional Properties of Normal Random Variables 7.9 General Definition of Expectation Summary Problems Theoretical Exercises Self-Test Problems and Exercises 8. LIMIT THEOREMS 394 8.1 Introduction 8.2 Chebyshev’s Inequality and the Weak Law of Large Numbers 8.3 The Central Limit Theorem 8.4 The Strong Law of Large Numbers 8.5 Other Inequalities and a Poisson Limit Result 8.6 Bounding the Error Probability When Approximating a Sum of Independent Bernoulli Random Variables by a Poisson Random Variable 8.7 The Lorenz Curve Summary Problems Theoretical Exercises Self-Test Problems and Exercises 9. ADDITIONAL TOPICS IN PROBABILITY 9.1 The Poisson Process 9.2 Markov Chains 9.3 Surprise, Uncertainty, and Entropy 9.4 Coding Theory and Entropy Summary Problems and Theoretical Exercises Self-Test Problems and Exercises 10. SIMULATION 10.1 Introduction 10.2 General Techniques for Simulating Continuous Random Variables 10.3 Simulating from Discrete Distributions 10.4 Variance Reduction Techniques Summary Problems Self-Test Problems and Exercises Answers to Selected Problems Solutions to Self-Test Problems and Exercises Index Common Discrete Distributions Common Continuous Distributions