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A Bayesian estimation of the four-parameter gamma distribution is consideredunder the noninformative prior. The Bayesisn estimators are obtained by the Gibbsin the Gibbs sampler is implemented using the adaptive rejection sampling algo-rithm of Gilks and Wild (1992). Also, the location parameter is generated usingthe adaptive rejection Metropolis sampling algorithm of Gilks, Best and Tan (1995).Finally, the simulation result is presented.