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;
(c) the logistic distribution family {LG(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.