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Using Skew-Logistic Probability Density Function as a Model for Age-Specific Fertility Rate Pattern
Author(s) -
Sahar Asili,
Sadegh Rezaei,
Lotfollah Najjar
Publication year - 2014
Publication title -
biomed research international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.772
H-Index - 126
eISSN - 2314-6141
pISSN - 2314-6133
DOI - 10.1155/2014/790294
Subject(s) - skew , fertility , total fertility rate , mathematics , statistics , probability density function , logistic function , logistic regression , skew normal distribution , skewness , econometrics , computer science , demography , population , research methodology , telecommunications , sociology , family planning
Fertility rate is one of the most important global indexes. Past researchers found models which fit to age-specific fertility rates. For example, mixture probability density functions have been proposed for situations with bi-modal fertility patterns. This model is less useful for unimodal age-specific fertility rate patterns, so a model based on skew-symmetric (skew-normal) pdf was proposed by Mazzuco and Scarpa (2011) which was flexible for unimodal and bimodal fertility patterns. In this paper, we introduce skew-logistic probability density function as a better model: its residuals are less than those of the skew-normal model and it can more precisely estimate the parameters of the model.

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