The following families have monotone likelihood ratio a the, Basic Statistics

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The following families have monotone likelihood ratio a the

The following families have monotone likelihood ratio:

(a) the double exponential distribution family {DE(θ, c)} with a known c;

(b) the exponential distribution family {E(θ, c)} with a known c;

(d) the uniform distribution family {U(θ, θ + 1)};

(e) the hypergeometric distribution family {HG(r, θ, N - θ)} with known r and N. An example of a family that does not have monotone likelihood ratio is the Cauchy distribution family {C(θ, c)} with a known c.

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