Search results
Results from the WOW.Com Content Network
In probability and statistics, an exponential family is a parametric set of probability distributions of a certain form, specified below. This special form is chosen for mathematical convenience, including the enabling of the user to calculate expectations, covariances using differentiation based on some useful algebraic properties, as well as for generality, as exponential families are in a ...
Download as PDF; Printable version; In other projects Wikimedia Commons; ... Exponential factorial; Exponential family; Exponential formula; Exponential function;
Category: Exponential family distributions. ... Print/export Download as PDF; Printable version; In other projects
The gamma distribution with two parameters is an exponential family but not a NEF and the chi-squared distribution is a special case of the gamma distribution with fixed scale parameter, and thus is also an exponential family but not a NEF (note that only a gamma distribution with fixed shape parameter is a NEF).
Download as PDF; Printable version; In other projects ... also known as the Natural Exponential Family ... (PDF). Biometrika. 81 (2): 396–402.
In probability theory and statistics, the Exponential-Logarithmic (EL) distribution is a family of lifetime distributions with decreasing failure rate, defined on the interval [0, ∞). This distribution is parameterized by two parameters p ∈ ( 0 , 1 ) {\displaystyle p\in (0,1)} and β > 0 {\displaystyle \beta >0} .
The exponentiated exponential distribution proposed by Gupta and Kundu (1999, 2001) is a special case of the exponentiated Weibull family. Later, the moments of the EW distribution were derived by Choudhury (2005).
Download as PDF; Printable version; ... for this family. If the pdf for (,) is (;,), then the pdf ... is an exponential family with natural parameters ...