Friday, November 27, 2020

Continuous Bernoulli distribution of Variational autoencoders

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Authors: Kuan-Sian Wang; Mei-Yu Lee

published on Nov. 22, 2020

Feature
1 provide the continuous bernoulli distribution and more.
2 provide the statistical inference of continuous bernoulli distribution.
3 the importance of those distributions. They are used in
4 provide free book, computer programs

book and computer program

The programs provide the sufficient statistic, the point estimator, the test statistic, the goodness of fit, the confidence inteval, and one-way analysis of continuous bernoulli distribution. Of course, we extend to continuous binomial distribution and continuous trinomial distribution.

Free book

For the mathematic derivation, you can read the pdf of free book on Free-ebook.net.

Book's contents

Chapter 1, The Continuous Bernoulli distribution
Chapter 2, The sufficient statistic of Continuous Bernoulli distribution
Chapter 3, The point estimator of Continuous Bernoulli distribution
Chapter 4, The test statistic of Continuous Bernoulli distribution
Chapter 5, The confidence interval of Continuous Bernoulli distribution
Chapter 6, The test statistic and confidence interval of two Continuous Bernoulli populations
Chapter 7, Goodness of fit about Continuous Bernoulli distribution
Chapter 8, One way analysis when population is Continuous Bernoulli distribution
Chapter 9, The Continuous Trinomial distribution and trial number=1
Chapter 10, The Continuous Trinomial distribution and trial number=n

computer programs

Content

There are 13 computer programs to compute the probability distribution and testing and confidence interval, those can help reader to get the probability distribution and do the statistical analysis.

There are two documents, simple and detailed descriptions, of the computer programs in the document folder.

The codes and exe files are in the code_and_exe folder.

download location

  • folder name: code_and_exe
  • folder name: document

Install

Since the exe files have to run in C:\C_Bernoulli, drop the exe files into C:\C_Bernoulli. Then click the exe file to run.

Usage

The programs contains the simulator of probability distribution(1-4), the statistic analysis(5-12), and the probability distribution after transformation(13). For example,

  1. run C:\C_Bernoulli\C_Bernoulli_01.exe

cb01.gif

  1. run C:\C_Bernoulli\C_Bernoulli_02.exe

cb02.gif


License: Proerietary license



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