Open Access Original Research Article

Bayesian Analysis of Poverty Rates in the South-Western Part of Nigeria

Akanbi, Olawale Basheer

Asian Journal of Probability and Statistics, Page 1-10
DOI: 10.9734/ajpas/2021/v15i330353

Poverty is global serious issue which differs in various cultures across the world and over time, varies according to the understanding of the society. Poverty is the level wherein an individual or people do not have the fundamental money-related assets and basics for the least expectation for everyday comforts. Therefore, this study applies a bayesian approach to poverty rates using the wealth index data in the south-western part of Nigeria to examine their poverty levels. The likelihood was Bernoulli and the conjugate Beta distribuitions at five different parameter values [Beta (1, 1), Beta (2, 2), Beta (4, 4), Beta (8, 8) and Beta (10, 10)] were elicited for the prior. Thus, the Beta-Bernoulli posteriors were derived, fitted and their parameters estimated for both the poor data set and the non-poor data set. The result for the poor data showed that as values of the prior parameters increases the posterior mean increases and the posterior variance decreases. So, at Beta (10, 10), the posterior standard variance is the lowest which indicates that about 36% of South-Western Nigeria population are extremely poor. Also, the result for the non poor data shows that as the values of the posterior parameters increases with increase in the prior parameters values, the posterior variance for prior, Beta (1, 1) has the least value 10.78%. This means that about 11% of South-Western Nigeria population are extremely non poor (rich).

Open Access Original Research Article

Generalized Inverse Power Sujatha Distribution with Applications

O. Michael Okoli, George A. Osuji, Chrisogonus K. Onyekwere

Asian Journal of Probability and Statistics, Page 11-25
DOI: 10.9734/ajpas/2021/v15i330354

In this paper, we present a new lifetime distribution known as the generalized inverse power Sujatha distribution. The statistical and mathematical properties of the new distribution such as the moment and moment generating function, Renyi entropy and distribution of order statistics have been derived and discussed. Also, reliability measures like survival function, hazard function, reverse hazard rate, cumulative hazard rate and odds function are discussed. Maximum likelihood estimation technique was used to estimate the parameters. However, a 95% confidence intervals were constructed for the parameters. Finally, we applied the proposed distribution to two lifetime datasets and compare its superiority over other candidate models. Results obtained indicates that the generalized inverse power Sujatha distribution outperform the other competing models.

Open Access Original Research Article

Skew Arcsine Distribution

Nuri Celik

Asian Journal of Probability and Statistics, Page 26-34
DOI: 10.9734/ajpas/2021/v15i330355

The arcsine distribution is very important tool in statistics literature especially in Brownian motion studies. However, modelling real data sets, even when the potential underlying distribution is pre-defined, is very complicated and difficult in statistical modelling. For this reason, we desire some flexibility on the underlying distribution. In this study, we propose a new distribution obtained by arcsine distribution with Azzalini’s skewness procedure. The main characteristics of the proposed distribution are determined both with theoretically and simulation study.

Open Access Original Research Article

On Beta Exponentiated Moment Exponential Distribution with Mathematical Characteristics and Application to Engineering Sectors

Zafar Iqbal, Muhammad Rashad, Iram Rauf, Muhammad Salman

Asian Journal of Probability and Statistics, Page 35-57
DOI: 10.9734/ajpas/2021/v15i330356

A new BEME distribution known as beta Exponentiated moment exponential (BEME) distribution is proposed. We provide here some shape properties, moments in the form of special functions, mean deviations of BEME distribution. We derive mathematical properties of the BEME distribution including the reliability measures, the Bonferroni and the Lorenz curves, rth order statistics, measures of uncertainty: the Shannon entropy measure and the s-entropy measure. The parameters of the BEME distribution are estimated by the method of maximum likelihood estimation and estimated non-linear equations for these estimates are presented. The application of BEME distribution is explored in three different fields of engineering.

Open Access Original Research Article

Potential Map of Community Welfare Based on Strong and Flexible Statistics Modelling in the Framework of Poverty

Adji Achmad Rinaldo Fernandes, Riyanti Isaskar, Intan Rahmawati, Lailil Muflikhah

Asian Journal of Probability and Statistics, Page 58-72
DOI: 10.9734/ajpas/2021/v15i330359

Purpose: This study aims to map the level of family welfare in the Wajak District.

Methods: This study uses a survey method with a mixed-method approach. The data used in this study is secondary data regarding HDI (Human Development Index), ISSI (Infrastructure Service Satisfaction Index), and EQI (Environmental Quality Index). The population in this study was all villages in Wajak District, which amounted to 13 villages. Then with the sampling technique using simple random sampling, the village selected as the sample for analysis is Bringin Village. The data analysis used in this study includes biplot, cluster, and IPA analysis.

Findings: The result of this study is that the level of welfare of the community in Bringin Village is said to be quite prosperous, this can be seen from the results of mapping the variables of religiosity, entrepreneurship, and service quality showing that cluster 1 is quite prosperous with 39 members, while in cluster 2, which is less prosperous, there are 11 members.

Originality: The outputs obtained for the Wajak Rural community include a mapping related to the level of family welfare and its distribution in various areas in the Wajak District area.