MATHEMATICAL STATISTICS

By P. NOURY

CHAPTER 1 BASIC CONCEPTS OF SET THEORY CHAPTER 2 SOME PROBABILISTIC CONCEPTS AND RESULTS CHAPTER 3 ON RANDOM VARIABLES AND THEIR DISTRIBUTIONS CHAPTER 4 DISTRIBUTION FUNCTIONS, PROBABILITY DENSITIES, AND THEIR RELATIONSHIP CHAPTER 5 MOMENTS OF RANDOM VARIABLES—SOME MOMENT AND PROBABILITY INEQUALITIES CHAPTER 6 CHARACTERISTIC FUNCTIONS, MOMENT GENERATING FUNCTIONS AND RELATED THEOREMS CHAPTER 7 STOCHASTIC INDEPENDENCE WITH SOME APPLICATIONS CHAPTER 8 BASIC LIMIT THEOREMS CHAPTER 9 TRANSFORMATIONS OF RANDOM VARIABLES AND RANDOM VECTORS CHAPTER 10 ORDER STATISTICS AND RELATED THEOREMS CHAPTER 11 SUFFICIENCY AND RELATED THEOREMS CHAPTER 12 POINT ESTIMATION CHAPTER 13 TESTING HYPOTHESES CHAPTER 14 SEQUENTIAL PROCEDURES CHAPTER 15 CONFIDENCE REGIONS—TOLERANCE INTERVALS CHAPTER 16 THE GENERAL LINEAR HYPOTHESIS CHAPTER 17 ANALYSIS OF VARIANCE CHAPTER 18 THE MULTIVARIATE NORMAL DISTRIBUTION CHAPTER 19 QUADRATIC FORMS CHAPTER 20 NONPARAMETRIC INFERENCE