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Mbanefo S. Madukaife

Publications (4)

A New Estimator of Shannon Entropy with Application to Goodness-of-Fit Test to Normal Distribution

Mbanefo S. Madukaife · Asian Research Journal of Mathematics · 2023

In this paper, a new estimator of the Shannon entropy of a random variable X having a probability density function \(\mathit{f}\)(\(\mathit{x}\)) is obtained based on window size spacings. Under the standard normal, standard exponential and uniform distributions, the estimator is...

Open access Research Article 10.9734/arjom/2023/v19i10735

A New Test for Normality Based on Balakrishnan – Sanghvi Divergence Measure

Mbanefo S. Madukaife & Everestus O. Ossai · Journal of Advances in Mathematics and Computer Science · 2022

In this paper, a more robust estimator of the Shannon entropy is applied in place of an earlier estimator, to obtain an improved goodness-of-fit test to normality which is based on the Balakrishnan-Sanghvi measure of divergence. The statistic is affine invariant and consistent ag...

Open access Research Article 10.9734/jamcs/2022/v37i121730

Likelihood Ratio Search Procedure for Optimum Number of States in a Hidden Markov Manpower Model

Everestus O. Ossai & Mbanefo S. Madukaife · Asian Journal of Probability and Statistics · 2022

This paper aims at obtaining the optimum number of states for a hidden Markov manpower model, which, hitherto, has been chosen arbitrarily. A search procedure that attains this optimum number after a few steps across a series of N hidden Markov manpower models is proposed. The li...

Open access Research Article 10.9734/ajpas/2022/v20i4445