Master Special Probability Distributions in Statistics

Master Special Probability Distributions in Statistics

English | MP4 | AVC 1280×720 | AAC 44KHz 2ch | 11 Hours | 4.52 MB

Learn everything about Normal, Binomial, Poisson, Exponential and many more Probability Distributions in this course.

As it turns out, there are some specific distributions that are used over and over in practice for e.g. Normal Distribution, Binomial Distribution, Poisson Distribution, Exponential Distribution etc.

There is a random experiment behind each of these distributions. Since these random experiments model a lot of real life phenomenon, these special distribution are used in different applications like Machine Learning, Neural Network, Data Science etc.

That is why they have been given a special names and we devote a course “Master Special Probability Distributions in Statistics” to study them.

This 80+ lecture course includes video explanations of everything from Special Probability Distributions, and it includes more than 45+ examples (with detailed solutions) to help you test your understanding along the way. “Master Special Probability Distributions in Statistics” is organized into the following sections:

  • Introduction
  • Binomial Distribution
  • Poisson Distribution
  • Geometric Distribution
  • Hypergeometric Distribution
  • Uniform or Rectangular Distribution
  • Exponential or Negative Exponential Distribution
  • Erlang or General Gamma Distribution
  • Weibull Distribution
  • Normal or Gaussian Distribution
Table of Contents

Introduction
1 Introduction

Binomial Distribution
2 Binomial Distribution – PMF and Moment Generating Function
3 Binomial Distribution – Solved Examples 7 and 8
4 Binomial Distribution – Solved Example 9
5 Binomial Distribution – Mean and Variance
6 Binomial Distribution – Recurrence relation for the Central Moments
7 Binomial Distribution – Additive Property
8 Binomial Distribution – Solved Example 1
9 Binomial Distribution – Solved Example 2
10 Binomial Distribution – Solved Example 3
11 Binomial Distribution – Solved Example 4
12 Binomial Distribution – Solved Examples 5 and 6

Poisson Distribution
13 Poisson Distribution – PMF and Moment Generating Function
14 Poisson Distribution – Solved Example 5
15 Poisson Distribution – Solved Example 6
16 Poisson Distribution – Solved Example 7
17 Poisson Distribution as Limiting Form of Binomial Distribution
18 Poisson Distribution – Mean and Variance
19 Poisson Distribution – Recurrence Formula for the Central Moments
20 Poisson Distribution – Additive or Reproductive Property
21 Poisson Distribution – Solved Example 1
22 Poisson Distribution – Solved Example 2
23 Poisson Distribution – Solved Example 3
24 Poisson Distribution – Solved Example 4

Geometric Distribution
25 Geometric Distribution – PMF and Moment Generating Function
26 Geometric Distribution – Mean and Variance
27 Memoryless Property of Geometric Distribution
28 Geometric Distribution – Solved Example 1
29 Geometric Distribution – Solved Example 2
30 Geometric Distribution – Solved Example 3
31 Geometric Distribution – Solved Example 4

Hypergeometric Distribution
32 Hypergeometric Distribution – PMF
33 Hypergeometric Distribution – Solved Example 1
34 Hypergeometric Distribution – Mean and Variance
35 Binomial Distribution as Limiting Form of Hypergeometric Distribution
36 Hypergeometric Distribution – Solved Example 2

Uniform or Rectangular Distribution
37 Uniform Distribution – PDF and Moment Generating Function
38 Uniform Distribution – Moments, Mean and Variance
39 Uniform Distribution – Solved Example 1
40 Uniform Distribution – Solved Example 2
41 Uniform Distribution – Solved Example 3
42 Uniform Distribution – Solved Example 4
43 Uniform Distribution – Solved Example 5
44 Uniform Distribution – Solved Example 6
45 Uniform Distribution – Solved Example 7

Exponential or Negative Exponential Distribution
46 Exponential Distribution – PDF, MGF and Memoryless Property
47 Exponential Distribution – Mean and Variance
48 Exponential Distribution – Solved Example 1
49 Exponential Distribution – Solved Example 2
50 Exponential Distribution – Solved Example 3
51 Exponential Distribution – Solved Example 4
52 Exponential Distribution – Solved Example 5
53 Exponential Distribution – Solved Example 6

Erlang or General Gamma Distribution
54 Erlang Distribution – PDF and its Moment Generating Function
55 Erlang Distribution – Mean and Variance
56 Erlang Distribution – Solved Example 1
57 Erlang Distribution – Solved Example 2
58 Erlang Distribution – Solved Example 3
59 Erlang Distribution – Reproductive Property and Solved Example 4
60 Relation between CDF of Simple Gamma Distribution and Poissson Distribution

Weibull Distribution
61 Weibull Distribution – PDF
62 Weibull Distribution – Mean, Variance and MGF
63 Weibull Distribution – Solved Example 1
64 Weibull Distribution – Solved Example 2

Normal or Gaussian Distribution
65 Normal Distribution – PDF
66 Normal Distribution – Quartile Deviation
67 Normal Distribution as Limiting form of Binomial Distribution
68 Importance of Normal Distribution
69 Normal Distribution – Solved Example 1
70 Normal Distribution – Solved Example 2
71 Normal Distribution – Solved Example 3
72 Normal Distribution – Solved Example 4
73 Normal Distribution – Solved Example 5
74 Normal Distribution – Additive Property
75 Normal Distribution – Solved Example 6
76 Normal Distribution – Probability Curve
77 Normal Distribution – Solved Example 7 and 8
78 Normal Distribution – Solved Example 9
79 Normal Distribution – Moment Generating Function
80 Normal Distribution – Mean and Variance
81 Normal Distribution – Median and Mode
82 Normal Distribution – Mean Deviation
83 Normal Distribution – Central Moments
84 Normal Distribution – Area Property
85 Area Under Standard Normal Curve

Central Limit Theorem
86 Convergence Concepts and Central Limit Theorem – Concept
87 Central Limit Theorem – Solved Example 1
88 Central Limit Theorem – Solved Example 2
89 Central Limit Theorem – Solved Example 3