Abstract

Recently, many new discrete distributions have been obtained. The uniform-geometric distribution is a newly obtained discrete distribution. In literature, parameter estimation is rare in the case of censored samples for new discrete distributions. In this study, the parameter estimation based on type-I censored sampling for the unknown parameter of the uniform geometric distribution is obtained using the maximum likelihood, methods of proportions, methods of moments, and modified maximum likelihood estimation methods. The performance of estimation methods is compared using the Monte Carlo simulation via biases and mean squared errors. Finally, two real data applications are given.

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