IIT JAM MATHEMATICAL STATISTICS ( PACK OF 5 BOOKS ) COMPLETE STUDY MATERIALS + YEAR WISE SOLUTIONS +MOCK TEST +SPECIAL MATHEMATICS SECTION + MORE THAN 4200+ SOLVED PROBLEMS+ MODEL PAPERS

IIT JAM MATHEMATICAL STATISTICS COMPLETE STUDY MATERIALS + YEAR WISE SOLUTIONS +MOCK TEST +SPECIAL MATHEMATICS SECTION + MORE THAN 4200+ SOLVED PROBLEMS+ MODEL PAPERS ******* ****WRITTEN ACCORDING TO NEW IIT JAM MATHEMATICAL STATISTICS ENTRANCE EXAM PATTERN ****ALL SECTIONS ARE THOROUGHLY EXPLAINED WITH ****SAMPLE SHORT AND LONG QUESTIONS ****WITH THEIR ANSWERS AND ****EXPLANATIONS AS WELL. ****10 MODEL PAPERS THOROUGHLY SOLVED .**** TOPICS COVERED ARE AS FOLLOWS STATISTICS STATISTICS PROBABILITY: AXIOMATIC DEFINITION OF PROBABILITY AND PROPERTIES, CONDITIONAL PROBABILITY, MULTIPLICATION RULE. THEOREM OF TOTAL PROBABILITY. BAYES' THEOREM AND INDEPENDENCE OF EVENTS.**** RANDOM VARIABLES: PROBABILITY MASS FUNCTION, PROBABILITY DENSITY FUNCTION AND CUMULATIVE DISTRIBUTION FUNCTIONS, DISTRIBUTION OF A FUNCTION OF A RANDOM VARIABLE.**** MATHEMATICAL EXPECTATION, MOMENTS AND MOMENT GENERATING FUNCTION****. CHEBYSHEV'S INEQUALITY.STANDARD DISTRIBUTIONS: BINOMIAL, NEGATIVE BINOMIAL, GEOMETRIC, POISSON, HYPERGEOMETRIC, UNIFORM, EXPONENTIAL, GAMMA, BETA AND NORMAL DISTRIBUTIONS. POISSON AND NORMAL APPROXIMATIONS OF A BINOMIAL DISTRIBUTION. JOINT DISTRIBUTIONS: JOINT, MARGINAL AND CONDITIONAL DISTRIBUTIONS. DISTRIBUTION OF FUNCTIONS OF RANDOM VARIABLES. PRODUCT MOMENTS, CORRELATION, SIMPLE LINEAR REGRESSION. INDEPENDENCE OF RANDOM VARIABLES. SAMPLING DISTRIBUTIONS: CHI-SQUARE, T AND F DISTRIBUTIONS, AND THEIR PROPERTIES. LIMIT THEOREMS: WEAK . ESTIMATION: UNBIASEDNESS, CONSISTENCY AND EFFICIENCY OF ESTIMATORS, METHOD OF MOMENTS AND METHOD OF MAXIMUM LIKELIHOOD. SUFFICIENCY, FACTORIZATION THEOREM. COMPLETENESS, RAO-BLACKWELL AND LEHMANN-SCHEFFE THEOREMS, UNIFORMLY MINIMUM VARIANCE UNBIASED ESTIMATORS. RAO-CRAMER INEQUALITY.CONFIDENCE INTERVALS FOR THE PARAMETERS OF UNIVARIATE NORMAL, TWO INDEPENDENT NORMAL, AND ONE PARAMETER EXPONENTIAL DISTRIBUTIONS. TESTING OF HYPOTHESES: BASIC CONCEPTS, APPLICATIONS OF NEYMAN-PEARSON LEMMA FOR TESTING