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arXiv · 1809.02959

MPS: An R package for modelling new families of distributions

Mahdi Teimouri
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Abstract

We introduce an \verb|R| package, called \verb|MPS|, for computing the probability density function, computing the cumulative distribution function, computing the quantile function, simulating random variables, and estimating the parameters of 24 new shifted families of distributions. By considering an extra shift (location) parameter for each family more flexibility yields. Under some situations, since the maximum likelihood estimators may fail to exist, we adopt the well-known maximum product spacings approach to estimate the parameters of shifted 24 new families of distributions. The performance of the \verb|MPS| package for computing the cdf, pdf, and simulating random samples will be checked by examples. The performance of the maximum product spacings approach is demonstrated by executing \verb|MPS| package for three sets of real data. As it will be shown, for the first set, the maximum likelihood estimators break down but \verb|MPS| package find them. For the second set, adding the location parameter leads to acceptance the model while absence of the location parameter makes the model quite inappropriate. For the third set, presence of the location parameter yields a better fit.

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Mahdi Teimouri. 2018-09-09. MPS: An R package for modelling new families of distributions. https://arxiv.org/abs/1809.02959

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