Arithmetic Variance Function
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An Arithmetic Variance Function is a Variance Function based on a known Expected Value and a known Mean Value.
- …
- Counter-Example(s):
- a Sample Variance.
- an Arithmetic Mean.
- See: Variance, Probability Theory.
References
2009
- http://www.introductorystatistics.com/escout/main/Glossary.htm
- variance (theoretical) The variance of the population or distribution. In the case of a discrete distribution given by p(x), it equals the sum of (x -m)2p(x), where m. is the population mean.
2006
- (Dubnicka, 2006c) ⇒ Suzanne R. Dubnicka. (2006). “Random Variables - STAT 510: Handout 3.” Kansas State University, Introduction to Probability and Statistics I, STAT 510 - Fall 2006.
- TERMINOLOGY : Let X be a random variable with mean μ. The variance of X is given by 2 Var(X) = E[(X − μ)2].
2005
- (Lord et al., 2005) ⇒ Dominique Lord, Simon P. Washington, and John N. Ivan. (2005). “Poisson, Poisson-gamma and zero-inflated regression models of motor vehicle crashes: balancing statistical fit and theory.” In: Accident Analysis & Prevention, 37(1). doi:10.1016/j.aap.2004.02.004
- QUOTE: The mean and variance of the binomial distribution are [math]\displaystyle{ E(Z) = Np }[/math] and [math]\displaystyle{ VAR(Z) = Np(1-p) }[/math] respectively.