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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 ...
Pages in category "Exponential family distributions" The following 42 pages are in this category, out of 42 total. This list may not reflect recent changes. A.
The Beta distribution on [0,1], a family of two-parameter distributions with one mode, of which the uniform distribution is a special case, and which is useful in estimating success probabilities. The four-parameter Beta distribution , a straight-forward generalization of the Beta distribution to arbitrary bounded intervals [ a , b ...
List of representations of e; Euler's identity; Exponential decay; Exponential distribution; Exponential factorial; Exponential family; Exponential formula; Exponential function; Exponential growth; Exponential integral; Exponential minus 1; Exponential sum; Exponentiation; Exponentiation by squaring
The natural exponential families (NEF) are a subset of the exponential families.A NEF is an exponential family in which the natural parameter η and the natural statistic T(x) are both the identity.
One’s biological age, which measures the body’s physiological state, may help predict who is at risk for developing colon polyps, a known risk factor for colorectal cancer.
The expected values of the sufficient statistics can be found by differentiation of the log-normalizer: [3] ... is an exponential family with natural parameters ...
From timely and timeless optimism, to risk-rating frameworks, to cutting-edge, AI-driven Q&A, plus a first-ever Market Cap Game Show World Championship, this Rule Breaker Investing extravaganza ...