Aims: This simulation study was conducted to check the validity of a MIXED model’s statistical inference when violating the underlying assumptions – normality of random errors when there are unbalanced group sizes and inequality of variance of errors [Scheffe, 1959]. Study Design...
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Research Article10.9734/ajpas/2022/v20i3428
The class (\(\Sigma\)) is an important family of semimartingales defined by Yor. These processes play a key role in the theory of probability and their applications. For instance, such processes are used to resolve the Skorokhod Imbedding Problem and to construct solutions for ho...
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Research Article10.9734/ajpas/2022/v20i3429
In this paper we investigate the problem of estimation of finite population mean using auxiliary information. The aim of this paper is to modify a separate ratio estimator by using calibration approach for the population mean using stratified random sampling. We use the calibrati...
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Research Article10.9734/ajpas/2022/v20i3427
This study examines the application of Chi-Square test in time series data which considers the mixed model structure and linear trending curve. The Chi-Square test is applied to the seasonal variances of the Buys-Ballot table. The emphasis is to assess the validity of the Chi-Squ...
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Research Article10.9734/ajpas/2022/v20i3426
This paper studies the quantile estimation by using the link function under a broad family of asymmetric densities known as a generalized quantile-based asymmetric family. We proposed a link function and quantile estimation in regression settings. The estimator’s asymptotic prope...
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Research Article10.9734/ajpas/2022/v20i3424
In all fields and branches of sciences especially statistics, the correlation coefficient is one of the most often used statistical measures. This study has been carried out for comparing the performances of the Pearson (), Spearman's Rank (), and Kendall’s Tau () correlation coe...
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Research Article10.9734/ajpas/2022/v20i3425
A novel distribution called the Juchez distribution is proposed and studied. This distribution is composite of both exponential and gamma distributions. The properties and features of this distribution are studied, with empirical emphasis: on the inequality relationship within th...
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Research Article10.9734/ajpas/2022/v20i2419
Udochukwu Victor Echebiri, Christogonus Ifeanyichukwu Ugoh, Emwinloghosa Kenneth Guobadia, Onaghise Andrew Isibor & Abayomi Omotayo·Asian Journal of Probability and Statistics·2022
This is a comparative study on mixture distribution; where the study seeks to ascertain whether higher number of k-component mixtures could result to development of models that show better fits. In the performance comparison, special consideration was given to univariate one para...
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Research Article10.9734/ajpas/2022/v20i3421
Integer program was formulated in this work for efficient bus scheduling problem in Transport Company to obtain an optimal bus allocation system for its travelling routes in Nigeria. Integer programs were formulated for both the long and short routes categories. Transportation da...
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Research Article10.9734/ajpas/2022/v20i3423
This study explores the effect of think-pair-share learning on junior high school students’ achievement in algebraic expressions. The study used the pre-test-post-test non-equivalent control group design. The participants were selected from two intact classes (already-formed grou...
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Research Article10.9734/ajpas/2022/v20i2418
Fixed Point Theory is developed during the years by generalizing various types of contractions or changing the axioms of metric spaces. The S-metric spaces extend the concept of metric spaces since the determination of axioms of S-metric are more general. In this paper, we prove...
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Research Article10.9734/ajpas/2022/v20i2417
Constrained multi-item inventory system with variable demands are considered. The demand rates of five selected multi-item - Cowbell, Milo, SMA, Cerelac and Golden Morn were modeled as Weibull, Normal and Lognormal probability distributions respectively with the aid of chi-square...
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Research Article10.9734/ajpas/2022/v20i2415
One of the concerns in the field of statistics is the presence of missing data, which leads to bias in parameter estimation and inaccurate results. However, the multiple imputation procedure is a remedy for handling missing data. This study looked at the best multiple imputation...
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Research Article10.9734/ajpas/2022/v20i2416
In this paper three efficient exponential ratio type estimators of finite population mean in the Adaptive Cluster Sampling design have been proposed using one known auxiliary variable. The expressions of bias and mean squared error of the proposed estimators are derived up to the...
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Research Article10.9734/ajpas/2022/v20i130482
In this paper, a new one-parameter distribution named Chris-Jerry is suggested from two component mixture of Exponential (\(\theta\)) distribution and Gamma(3; \(\theta\)) distribution with mixing proportion \(p=\frac{\theta}{\theta + 2}\) having a flexibility advantage in modeli...
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Research Article10.9734/ajpas/2022/v20i130480