Course In Probability & Statistics Important For Machine Learning, Artificial Intelligence, Data Science, Neural Network
What you will learn
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
Central Limit Theorem
Hypotheses Testing
Large Sample Test – Tests of Significance for Large Samples
Small Sample Test – Tests of Significance for Small Samples
Chi – Square Test – Test of Goodness of Fit
Description
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 Complete Statistics For Computer Science – II” to study them.
After learning about special probability distribution, the second half of this course is devoted for data analysis through inferential statistics which is also referred to as statistical inference.
Technically speaking, the methods of statistical inference help in generalizing the results of a sample to the entire population from which the sample is drawn.
This 150+ lecture course includes video explanations of everything from Special Probability Distributions and Sampling Distribution, and it includes more than 85+ examples (with detailed solutions) to help you test your understanding along the way. “Master Complete Statistics For Computer Science – II” is organized into the following sections:
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Introduction
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Binomial Distribution
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Poisson Distribution
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Geometric Distribution
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Hypergeometric Distribution
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Uniform or Rectangular Distribution
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Exponential or Negative Exponential Distribution
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Erlang or General Gamma Distribution
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Weibull Distribution
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Normal or Gaussian Distribution
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Central Limit Theorem
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Hypotheses Testing
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Large Sample Test – Tests of Significance for Large Samples
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Small Sample Test – Tests of Significance for Small Samples
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Chi – Square Test – Test of Goodness of Fit
English
language
Content
Introduction
Introduction
Binomial Distribution
Binomial Distribution – PMF and Moment Generating Function
Binomial Distribution – Mean and Variance
Binomial Distribution – Recurrence relation for the Central Moments
Binomial Distribution – Additive Property
Binomial Distribution – Solved Example 1
Binomial Distribution – Solved Example 2
Binomial Distribution – Solved Example 3
Binomial Distribution – Solved Example 4
Binomial Distribution – Solved Examples 5 and 6
Binomial Distribution – Solved Examples 7 and 8
Binomial Distribution – Solved Example 9
Poisson Distribution
Poisson Distribution – PMF and Moment Generating Function
Poisson Distribution as Limiting Form of Binomial Distribution
Poisson Distribution – Mean and Variance
Poisson Distribution – Recurrence Formula for the Central Moments
Poisson Distribution – Additive or Reproductive Property
Poisson Distribution – Solved Example 1
Poisson Distribution – Solved Example 2
Poisson Distribution – Solved Example 3
Poisson Distribution – Solved Example 4
Poisson Distribution – Solved Example 5
Poisson Distribution – Solved Example 6
Poisson Distribution – Solved Example 7
Geometric Distribution
Geometric Distribution – PMF and Moment Generating Function
Geometric Distribution – Mean and Variance
Memoryless Property of Geometric Distribution
Geometric Distribution – Solved Example 1
Geometric Distribution – Solved Example 2
Geometric Distribution – Solved Example 3
Geometric Distribution – Solved Example 4
Hypergeometric Distribution
Hypergeometric Distribution – PMF
Hypergeometric Distribution – Solved Example 1
Hypergeometric Distribution – Mean and Variance
Binomial Distribution as Limiting Form of Hypergeometric Distribution
Hypergeometric Distribution – Solved Example 2
Uniform or Rectangular Distribution
Uniform Distribution – PDF and Moment Generating Function
Uniform Distribution – Moments, Mean and Variance
Uniform Distribution – Solved Example 1
Uniform Distribution – Solved Example 2
Uniform Distribution – Solved Example 3
Uniform Distribution – Solved Example 4
Uniform Distribution – Solved Example 5
Uniform Distribution – Solved Example 6
Uniform Distribution – Solved Example 7
Exponential or Negative Exponential Distribution
Exponential Distribution – PDF, MGF and Memoryless Property
Exponential Distribution – Mean and Variance
Exponential Distribution – Solved Example 1
Exponential Distribution – Solved Example 2
Exponential Distribution – Solved Example 3
Exponential Distribution – Solved Example 4
Exponential Distribution – Solved Example 5
Exponential Distribution – Solved Example 6
Erlang or General Gamma Distribution
Erlang Distribution – PDF and its Moment Generating Function
Erlang Distribution – Mean and Variance
Erlang Distribution – Solved Example 1
Erlang Distribution – Solved Example 2
Erlang Distribution – Solved Example 3
Erlang Distribution – Reproductive Property and Solved Example 4
Relation between CDF of Simple Gamma Distribution and Poissson Distribution
Weibull Distribution
Weibull Distribution – PDF
Weibull Distribution – Mean, Variance and MGF
Weibull Distribution – Solved Example 1
Weibull Distribution – Solved Example 2
Normal or Gaussian Distribution
Normal Distribution – PDF
Normal Distribution – Probability Curve
Normal Distribution – Moment Generating Function
Normal Distribution – Mean and Variance
Normal Distribution – Median and Mode
Normal Distribution – Mean Deviation
Normal Distribution – Central Moments
Normal Distribution – Area Property
Area Under Standard Normal Curve
Normal Distribution – Quartile Deviation
Normal Distribution as Limiting form of Binomial Distribution
Importance of Normal Distribution
Normal Distribution – Solved Example 1
Normal Distribution – Solved Example 2
Normal Distribution – Solved Example 3
Normal Distribution – Solved Example 4
Normal Distribution – Solved Example 5
Normal Distribution – Additive Property
Normal Distribution – Solved Example 6
Normal Distribution – Solved Example 7 and 8
Normal Distribution – Solved Example 9
Normal Distribution – Solved Example 10
Central Limit Theorem
Convergence Concepts and Central Limit Theorem – Concept
Central Limit Theorem – Solved Example 1
Central Limit Theorem – Solved Example 2
Central Limit Theorem – Solved Example 3
Hypotheses Testing
Population and Sample – Concept
Parameters and Statistics – Concept
Sampling Distribution – Concept
Estimation and Testing of Hypotheses – Concept
Tests of Hypotheses – Concept
Tests of Significance – Concept
Critical Region and Level of Significance – Concept
Errors in Testing of Hypotheses – Concept
One-Tailed and Two-Tailed Tests – Concept
Critical Values or Significant Values – Concept
Procedure for Testing of Hypothesis – Concept
Interval Estimation of Population Parameters – Concept
Large Sample Test – Tests of Significance for Large Samples
Tests of Significance for Large Samples – Concept
Tests of Significance for Large Samples – Test 1 – Concept
Tests of Significance for Large Samples – Test 1 – Solved Example 1
Tests of Significance for Large Samples – Test 1 – Solved Example 2
Tests of Significance for Large Samples – Test 1 – Solved Example 3 and 4
Tests of Significance for Large Samples – Test 1 – Solved Example 5
Tests of Significance for Large Samples – Test 2 – Concept
Tests of Significance for Large Samples – Test 2 – Solved Example 1
Tests of Significance for Large Samples – Test 2 – Solved Example 2
Tests of Significance for Large Samples – Test 2 – Solved Example 3
Tests of Significance for Large Samples – Test 3 – Concept
Tests of Significance for Large Samples – Test 3 – Solved Example 1 and 2
Tests of Significance for Large Samples – Test 3 – Solved Example 3 and 4
Tests of Significance for Large Samples – Test 3 – Solved Example 5
Tests of Significance for Large Samples – Test 4 – Concept
Tests of Significance for Large Samples – Test 4 – Solved Example 1
Tests of Significance for Large Samples – Test 4 – Solved Example 2
Tests of Significance for Large Samples – Test 4 – Solved Example 3
Tests of Significance for Large Samples – Test 4 – Solved Example 4
Tests of Significance for Large Samples – Test 4 – Solved Example 5
Tests of Significance for Large Samples – Test 4 – Solved Example 6
Tests of Significance for Large Samples – Test 5 – Concept and Solved Example 1
Tests of Significance for Large Samples – Test 6 – Concept
Tests of Significance for Large Samples – Test 6 – Solved Example 1
Small Sample Test – Tests of Significance for Small Samples
Tests of Significance for Small Samples – Introductory Concept
Student’s t – Distribution – PDF, Properties and Uses – Concept
Degree of Freedom – Concept
Critical Values of t and the t-Table – Concept
Tests of Significance for Small Samples – Test 1 – Concept
Tests of Significance for Small Samples – Test 1 – Solved Example 1
Tests of Significance for Small Samples – Test 1 – Solved Example 2 and 3
Tests of Significance for Small Samples – Test 1 – Solved Example 4
Tests of Significance for Small Samples – Test 1 – Solved Example 5
Tests of Significance for Small Samples – Test 2 – Concept
Tests of Significance for Small Samples – Test 2 – Solved Example 1
Tests of Significance for Small Samples – Test 2 – Solved Example 2
Tests of Significance for Small Samples – Test 2 – Solved Example 3
Tests of Significance for Small Samples – Test 2 – Solved Example 4
Tests of Significance for Small Samples – Test 2 – Solved Example 5
Snedecor’s F – Distribution – PDF, Properties and Uses – Concept
Tests of Significance for Small Samples – F – Test – Concept
Table of F (Variance ratio) – 1 % L.O.S. and 5 % L.O.S.
Tests of Significance for Small Samples – F – Test – Solved Example 1 and 2
Tests of Significance for Small Samples – F – Test – Solved Example 3
Tests of Significance for Small Samples – F – Test – Solved Example 4
Tests of Significance for Small Samples – F – Test – Solved Example 5
Tests of Significance for Small Samples – F – Test – Solved Example 6
Chi – Square Test (Test of Goodness of Fit & Test of Independence of Attributes)
Chi – Square Distribution – PDF, Properties and Uses – Concept
Chi – Square Test (Test of Goodness of Fit) – Concept
Critical Values of Chi – Square and the Chi – Square Table
Chi – Square Test (Test of Goodness of Fit) – Solved Example 1
Chi – Square Test (Test of Goodness of Fit) – Solved Example 2
Chi – Square Test (Test of Goodness of Fit) – Solved Example 3
Chi – Square Test (Test of Goodness of Fit) – Solved Example 4
Chi – Square Test (Test of Goodness of Fit) – Solved Example 5
Chi – Square Test (Test of Goodness of Fit) – Solved Example 6
Chi – Square Test (Test of Goodness of Fit) – Solved Example 7
Chi – Square Test (Test of Goodness of Fit) – Solved Example 8
Chi – Square Test (Test of Goodness of Fit) – Solved Example 9
Chi – Square Test (Test of Goodness of Fit) – Solved Example 10
Chi – Square Test (Test of Independence of Attributes) – Concept
Chi – Square Test (Test of Independence of Attributes) – Solved Example 1
Chi – Square Test (Test of Independence of Attributes) – Solved Example 2
Chi – Square Test (Test of Independence of Attributes) – Solved Example 3
Chi – Square Test (Test of Independence of Attributes) – Solved Example 4
Chi – Square Test (Test of Independence of Attributes) – Solved Example 5