Exercises of Advanced Statistics

Table of Contents

Table of Contents

Exercises of Advanced Statistics

INTRODUCTION

THEORETICAL OUTLINE

EXERCISES

Exercises of Advanced Statistics

Exercises of Advanced Statistics

SIMONE MALACRIDA

In this book, exercises are carried out regarding the following mathematical topics:

random variables, mean, variance, covariance

marginal and joint probability distributions

continuous and discrete probability distributions

remarkable theorems and inequalities of statistics

Initial theoretical hints are also presented to make the conduct of the exercises understandable.

Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

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INTRODUCTION

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I – THEORETICAL OUTLINE

Random variables, distributions and properties

Notable inequalities

Convergence

Discrete distributions

Continuous distributions

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II – EXERCISES

Exercise 1

Exercise 2

Exercise 3

Exercise 4 _

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Exercise 12

Exercise 13

Exercise 14

Exercise 15

Exercise 16

Exercise 17

Exercise 18

Exercise 19

Exercise 20

Exercise 21

Exercise 22

Exercise 23

Exercise 24

Exercise 25

Exercise 26

Exercise 27

Exercise 28

Exercise 29

Exercise 30

Exercise 31

Exercise 32

Exercise 33

Exercise 34

Exercise 35

Exercise 36

INTRODUCTION

INTRODUCTION

In this exercise book some examples of calculations related to advanced statistics are carried out.

Furthermore, the main theorems and inequalities used in statistics are presented.

The notion of random variable imposes a review of the elementary statistics system, going to define the probability distributions of this variable according to the various cases.

Discrete and continuous distributions make it possible to mathematically abstract a large number of otherwise unsolved problems even using the finest knowledge of mathematical analysis.

In order to understand in more detail what is presented in the resolution of the exercises, the theoretical reference context is recalled in the first chapter.

What is exposed in this workbook is generally addressed in university courses in statistics.