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Double exponential distribution

Double Exponential Distribution Probability Density Function The general formula for the  probability density function  of the double exponential distribution is where   is the  location parameter  and   is the  scale parameter . The case where   = 0 and   = 1 is called the  standard double exponential distribution . The equation for the standard double exponential distribution is Since the general form of probability functions can be  expressed in terms of the standard distribution , all subsequent formulas in this section are given for the standard form of the function. The following is the plot of the double exponential probability density function. Cumulative Distribution Function The formula for the  cumulative distribution function  of the double exponential distribution is The following is the plot of the double exponential cumulative distribution function. Percent Point Function...

Weibull distribution

Weibull Distribution Probability Density Function The formula for the  probability density function  of the general Weibull distribution is where   is the  shape parameter ,   is the  location parameter  and   is the scale parameter . The case where   = 0 and   = 1 is called the  standard Weibull distribution . The case where   = 0 is called the 2-parameter Weibull distribution. The equation for the standard Weibull distribution reduces to Since the general form of probability functions can be  expressed in terms of the standard distribution , all subsequent formulas in this section are given for the standard form of the function. The following is the plot of the Weibull probability density function. Cumulative Distribution Function The formula for the  cumulative distribution function  of the Weibull distribution is The following is the plot of the Weibull cumulative ...

Karl pearson:

Karl pearson: Born 27 March 1857 Islington , London , England Died 27 April 1936 (aged 79) Coldharbour, Surrey , England Residence England Nationality British Fields Lawyer , Germanist , eugenicist , mathematician and statistician (primarily the latter) Institutions University College London King's College, Cambridge Alma mater University of Cambridge University of Heidelberg Academic advisors Francis Galton Notable students Philip Hall John Wishart Known for Pearson distribution Pearson's r Pearson's chi-squared test Phi coefficient Influenced Henry Ludwell Moore Notable awards Darwin Medal (1898) Contributions to statistics : Correlation coefficient . The correlation coefficient...