Abstract

A Skew-Logistic Distribution Model forModelling Marriage Instability Pattern

1Braimah, Odunayo Joseph and 2Enoyoze, Esosa

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Abstract Marriage instability is one of the demographic features presides over human population dynamics. The age-specific marriage instability pattern has a discrete shape for all human population, to illustrate which, a number of parametric models have been recommended by several authors. The purpose of this study is to build up a mathematical model for fitting marriage instability rate pattern of various geopolitical zones of Nigeria. Skew-logistic probability density function is used for developing the model. The real data, to which this model has been fitted, is obtained from National Demographic and Health Survey (2008). The used model is very flexible in nature and hence is useful for modeling diverse marriage instability patterns which are observed across different states of the country. The parameters of the model have been estimated through the method of non-linear least square. By fitting the model, it is observed that the model is a robust model that fits well on the marriage instability pattern for all the zones of the country. From our findings, we observed that out of the six geopolitical zones, our result shows that marriage instability in north east zone is most prevalent while the South East is least prevalent. Keywords: Age-Specific marriage instability Rate, Parametric, Skewed, Logistic Probability, Density Function, Least Square

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