A Primer in Probability. (1990)

• Record Type: Book
• Further Information: Note: Kathleen Subrahmaniam.
• Authors: Subrahmaniam, Kathleen
• Contents: Cover; Half Title; Title Page; Copyright Page; Dedication; Contents; PREFACE TO THE SECOND EDITION; PREFACE TO THE FIRST EDITION; 1 A FIRST GLIMPSE OF PROBABILITY; 1.1 WHAT IS PROBABILITY?; 1.2 EXPERIMENTS: DETERMINISTIC OR RANDOM; 1.3 THE ROLE OF PROBABILITY IN STATISTICAL INFERENCE; 1.4 INTERPRETING PROBABILITY; 1.4.1 Empirical Basis of Probability; 1.4.2 Classical Definition; 1.4.3 Subjective Probability; PROBLEMS; 2 BASIC CONCEPTS OF PROBABILITY; 2.1 SAMPLE SPACE; 2.2 EVENTS AND THEIR PROBABILITIES; 2.3 COMBINING EVENTS; 2.4 PROBABILITIES ASSOCIATED WITH COMBINED EVENTS 2.5 FINDING PROBABILITIESPROBLEMS; 3 COUNTING PROCEDURES AND THEIR APPLICATIONS IN COMPUTING PROBABILITIES; 3.1 THE NEED FOR COUNTING TECHNIQUES: THE UNIFORM MODEL; 3.2 COUNTING PROCEDURES INVOLVING ORDER RESTRICTIONS; 3.3 COUNTING PROCEDURES NOT INVOLVING ORDER RESTRICTIONS; 3.4 APPLICATIONS OF COUNTING PROCEDURES; 3.5 OCCUPANCY PROBLEMS: ROLE OF DISTINGUISHABILITY; 3.6 RANDOM SAMPLING; PROBLEMS; 4 CONDITIONAL PROBABILITY; 4.1 REDUCTION OF THE SAMPLE SPACE; 4.2 MULTIPLICATION RULE AND ASSIGNING PROBABILITIES; 4.3 STAGEWISE EXPERIMENTS; 4.4 POSTERIOR PROBABILITIES: BAYES RULE; PROBLEMS 5 INDEPENDENCE5.1 INBEPENDENCE OF TWO EVENTS; 5.2 INDEPENDENCE FOR MORE THAN TWO EVENTS; 5.3 PROBABILITIES ASSOCIATED WITH MUTUALLY INDEPENDENT EVENTS; PROBLEMS; 6 RANDOM VARIABLES; 6.1 QUANTIFYING THE RANDOM EXPERIMENT; 6.2 CUMULATIVE DISTRIBUTION FUNCTION; 6.3 FUNCTIONS OF A RANDOM VARIABLE; 6.4 JOINT PROBABILITY FUNCTIONS; 6.5 MARGINAL PROBABILITY FUNCTIONS; 6.6 INDEPENDENCE; PROBLEMS; 7 DESCRIBING RANDOM VARIABLES AND THEIR DISTRIBUTIONS; 7.1 EXPECTATION; 7.2 LAWS OF EXPECTATION FOR A SINGLE RANDOM VARIABLE; 7.3 VARIANCE; 7.4 LAWS OF VARIANCE FOR A SINGLE RANDOM VARIABLE 7.5 STANDARDIZED RANDOM VARIABLESPROBLEMS; 8 DESCRIBING THE JOINT BEHAVIOR OF SEVERAL RANDOM VARIABLES; 8.1 EXPECTATION OF A FUNCTION OF TWO RANDOM VARIABLES; 8.2 COVARIANCE; 8.3 EXPECTATION OF THE SUM OF SEVERAL RANDOM VARIABLES; 8.4 VARIANCE OF THE SUM OF SEVERAL RANDOM VARIABLES; 8.5 CORRELATION COEFFICIENT; 8.6 PROBLEMS CONCERNING SEVERAL RANDOM VARIABLES; 8.7 RANDOM VARIABLES BASED ON SAMPLES; PROBLEMS; 9 SPECIAL DISCRETE PROBABILITY MODELS; 9.1 BINOMIAL DISTRIBUTION; 9.2 WAITING TIME DISTRIBUTIONS; 9.3 POISSON DISTRIBUTION; 9.4 HYPERGEOMETRIC DISTRIBUTION 9.5 SUMS OF BINOMIAL RANDOM VARIABLES9.6 MULTINOMIAL DISTRIBUTION; PROBLEMS; 10 STATISTICAL INFERENCE; 10.1 TESTS OF HYPOTHESES; 10.2 TESTING FOR GOODNESS OF FIT; 10.3 TESTS FOR COMPARING TWO GROUPS; PROBLEMS; 11 CONTINUOUS DISTRIBUTIONS; 11.1 PROPERTIES OF CONTINUOUS RANDOM VARIABLES; 11.2 NORMAL DISTRIBUTION; PROBLEMS; 12 LIMIT THEOREMS; 12.1 CHEBYSHEVf S INEQUALITY; 12.2 LAW OF LARGE NUMBERS; 12.3 CENTRAL LIMIT THEOREM; 12.4 APPROXIMATING DISCRETE DISTRIBUTIONS USING THE CENTRAL LIMIT THEOREM; PROBLEMS; APPENDIXES; A: Summation and Subscripts; B; Set Theory
• Edition: Second edition, revised and expanded
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 1990
• Extent: 1 online resource
• Subjects: 519.2; Probabilities; Probabilities; Electronic books
• Languages: English
• ISBNs: 9781482293296; 1482293293
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.