Exercises of Statistical Inference

By Simone Malacrida

In this book, exercises are carried out regarding the following mathematical topics:
estimation theory
hypothesis testing and verification
linear regression
Initial theoretical hints are also presented to make the performance of the exercises understood.

• Language: English
• Publisher: Simone Malacrida
• Release date: Dec 22, 2022
• ISBN: 9798215710753

Simone Malacrida

Simone Malacrida (1977) Ha lavorato nel settore della ricerca (ottica e nanotecnologie) e, in seguito, in quello industriale-impiantistico, in particolare nel Power, nell'Oil&Gas e nelle infrastrutture. E' interessato a problematiche finanziarie ed energetiche. Ha pubblicato un primo ciclo di 21 libri principali (10 divulgativi e didattici e 11 romanzi) + 91 manuali didattici derivati. Un secondo ciclo, sempre di 21 libri, è in corso di elaborazione e sviluppo.

Book preview

Exercises of Statistical Inference

SIMONE MALACRIDA

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

estimation theory

hypothesis testing and verification

linear regression

Initial theoretical hints are also presented to make the performance of the exercises understood.

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

Introduction

Estimation theory

Hypothesis testing

Regression

Bayesian inference

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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

Exercise27

INTRODUCTION

In this exercise book, some examples of calculations related to statistical inference are carried out.

Furthermore, the main theorems used both in estimation theory and in hypothesis testing are presented.

The study of statistics, in fact, does not stop at the properties of continuous and discrete probability distributions, but expands into inference sectors, applying the statistical concepts of estimation, mean, variance, regression and hypothesis testing when in the presence of particular tests.

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 presented in this workbook is generally addressed in advanced statistics courses at university level.

I

THEORETICAL OUTLINE

Introduction

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Statistical inference falls