Mathematical Modeling of Age-Specific Fertility Rates of Nepali Mothers

Gaire, Arjun Kumar; Thapa, Gyan Bahadur; Kc, Samir

doi:10.18187/pjsor.v18i2.3319

Cited by 3 publications

(3 citation statements)

References 13 publications

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“…Asili et al (2014) used skew-logistic probability to fit ASFRs of Italy and the same model was applied to fit the ASFRs of India by Mishra et al (2017). A polynomial model was used by Gaire et al (2022). In this paper, the proposed SLLog model is applied to the age of the mother at the birth of a child to fit ASFRs of Nepal, and the results are compared with baseline distribution which are presented in Table 2.…”

Section: Application Of Sllog Distributionmentioning

confidence: 99%

Skew Log-logistic distribution: properties and application

Gaire,

Bahadur Gurung

2024

SiTns

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This paper introduces a novel three-parameter skew-log-logistic distribution. The research involves the development of a new random variable based on Azzalini and Capitanio’s (2013) proposition. Additionally, various statistical properties of this distribution are explored. The paper presents a maximum likelihood method for estimating the distribution’s parameters. The density function exhibits unimodality with heavy right tails, while the hazard function exhibits rapid increase, unimodality, and slow decrease, resulting in a right-skewed curve. Furthermore, four real datasets are utilized to assess the applicability of this new distribution. The AIC and BIC criteria are employed to assess the goodness of fit, revealing that the new distribution offers greater flexibility compared to the baseline distribution.

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Section: Application Of Sllog Distributionmentioning

confidence: 99%

Skew Log-logistic distribution: properties and application

Gaire,

Bahadur Gurung

2024

SiTns

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Section: Application Of Sllog Distributionmentioning

confidence: 99%

Untitled

2024

SiTns

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Statistics in Transition new series (SiTns) is an international journal published jointly by the Polish Statistical Association (PTS) and Statistics Poland, on a quarterly basis (during 1993-2006 it was issued twice and since 2006 three times a year). Also, it has extended its scope of interest beyond its originally primary focus on statistical issues pertinent to transition from centrally planned to a market-oriented economy through embracing questions related to systemic transformations of and within the national statistical systems, world-wide.The SiTns seeks contributors that address the full range of problems involved in data production, data dissemination and utilization, providing international community of statisticians and users -including researchers, teachers, policy makers and the general public -with a platform for exchange of ideas and for sharing best practices in all areas of the development of statistics.Accordingly, articles dealing with any topics of statistics and its advancement -as either a scientific domain (new research and data analysis methods) or as a domain of informational infrastructure of the economy, society and the state -are appropriate for Statistics in Transition new series.Demonstration of the role played by statistical research and data in economic growth and social progress (both locally and globally), including better-informed decisions and greater participation of citizens, are of particular interest.Each paper submitted by prospective authors are peer reviewed by internationally recognized experts, who are guided in their decisions about the publication by criteria of originality and overall quality, including its content and form, and of potential interest to readers (esp. professionals).

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“…In this section, we illustrate the goodness of fit of the proposed Skew Lomax distribution by using three real lifetime data sets; The First data set is taken from the Nepal Demographic and Health Survey (NDHS, 2017). To fit the age of the mother at the birth of a child in the case of ASFRs some of the right-skewed probability models and other models had been used in literature such as the Normal Mixture model (Peristera and Kostaki, 2007), flexible generalized skew Normal distribution (Mazzuco and Scarpa, 2011), Inverse Gaussian model (Gaire and Aryal, 2015), Polynomial Model (Gaire et al, 2022).…”

Section: Numerial Application Of Skew Lomax Distributionmentioning

confidence: 99%

Skew Lomax Distribution, Parameter Estimation, Its Properties, and Applications

Gaire

2023

Jnl Sci. Engg.

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In this paper, a three-parameter distribution called the ‘Skew-Lomax’ distribution is proposed, which is the special case of the Azzalini distribution to generalize the Lomax distribution. The Lomax distribution is also called Pareto type II distribution, which is a heavy-tailed continuous probability distribution for a non-negative random variable. The statistical properties of the proposed Skew-Lomax distribution, including mean, variance, moments about the origin, cumulative distribution function, hazard rate function, quantile function, and the random number generation have been derived. Also, the method of maximum likelihood and the method of moment to estimate the parameters of this distribution have been proposed. Three real data sets have been used to illustrate the usefulness, flexibility, and application of the proposed distribution. The coefficient of determination, chi-square test statistics, and the sum of the square of error depicts that the proposed model is more flexible than the Lomax distribution.

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Mathematical Modeling of Age-Specific Fertility Rates of Nepali Mothers

Cited by 3 publications

References 13 publications

Skew Log-logistic distribution: properties and application

Skew Log-logistic distribution: properties and application

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Skew Lomax Distribution, Parameter Estimation, Its Properties, and Applications

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