Suppose that a sequence of mutually independent and identically distributed discrete random variables X₁, X2, X3,..., X₁ has the following probability density function f(x; 0): 0xe-0 x! 0, " for x = 0,1,2,... elsewhere Use the one-parameter regular exponential family definition to find the functions, h(x), c(0), w(0) and t(x).

MATLAB: An Introduction with Applications
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Suppose that a sequence of mutually independent and identically distributed discrete random
variables X₁, X2, X3,..., Xn has the following probability density function
0xe-0
x!
f(x; 0) =
0,
7
for x = 0,1,2,...
elsewhere
Use the one-parameter regular exponential family definition to find the functions,
h(x), c(0), w(0) and t(x).
Transcribed Image Text:Suppose that a sequence of mutually independent and identically distributed discrete random variables X₁, X2, X3,..., Xn has the following probability density function 0xe-0 x! f(x; 0) = 0, 7 for x = 0,1,2,... elsewhere Use the one-parameter regular exponential family definition to find the functions, h(x), c(0), w(0) and t(x).
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