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Comparison of Generalized Linear Model and Generalized Linear Mixed Model – An Application to Low Birth Weight Data

Michael Fosu Ofori, Stephen B. Twum & Jackson A. Y. Osborne · Asian Journal of Probability and Statistics · 2020

Background: Generalized Linear models are mostly fitted to data that are not correlated. However, very often data that are collected from health and epidemiological studies are correlated either as a result of the sampling methods or the randomness associated with the collection...

Open access Research Article 10.9734/ajpas/2020/v8i330208

A Study on Second Order Rotatable Designs under Tri-diagonal Correlated Structure of Errors Using a Pair of Balanced Incomplete Block Designs

K. Raghavendra Swamy & B. Re. Victorbabu · Asian Journal of Probability and Statistics · 2020

In this paper, a study on second order rotatable designs under tri-diagonal correlated structure of errors using a pair of balanced incomplete block designs is suggested. Further, the variance function of the estimated response for different values of tri-diagonal correlated coef...

Open access Research Article 10.9734/ajpas/2020/v8i230205

The Inverse Lomax-G Family with application to Breaking Strength Data

Jamilu Yunusa Falgore & Sani Ibrahim Doguwa · Asian Journal of Probability and Statistics · 2020

We proposed a new class of distributions with two additional positive parameters called the Inverse Lomax-G (IL-G) class. A special case was discussed, by taking Weibull as a baseline. Different properties of the new family that hold for any type of baseline model are derived inc...

Open access Research Article 10.9734/ajpas/2020/v8i230204

Aspects of Modern Systemic Approach (III): Implications of Random Processes in the Study of Dynamic Systems

Bogdan-Vasile Cioruța · Asian Journal of Probability and Statistics · 2020

The purpose of this study is to familiarize the reader with the diversity of concepts (notions) and stages of development specific to Probability Theory, with the definition and characterization of variables, vectors and random processes, respectively with the most important elem...

Open access Research Article 10.9734/ajpas/2020/v8i230203

A Critique on the Foundational Response Surface Methodology for Exploring Optimal Regions

John E. Usen, Essien J. Okoi, Eric M. Egomo, Ekeng N. Henshaw & Edet B. Hogan · Asian Journal of Probability and Statistics · 2020

The interest of most process engineers in industries is usually to optimize the yield of their processes. Not until 1951, imprecise methodologies were used in industries for this purpose. However, in 1951, G. E. P. Box and K. B. Wilson invented the technique of Response Surface M...

Open access Research Article 10.9734/ajpas/2020/v8i230201

Analytical Solution of Black-Scholes Equation in Predicting Market Prices and Its Pricing Bias

Azor, Promise Andaowei & Amadi, Innocent Uchenna · Asian Journal of Probability and Statistics · 2020

This paper is geared towards implementation of Black-Scholes equation in valuation of European call option and predicting market prices for option traders. First, we explained how Black-Scholes equation can be used to estimate option prices and then we also estimated the BS prici...

Open access Research Article 10.9734/ajpas/2020/v8i230202

Modeling and Forecasting Exchange Rate Values between Naira and US Dollar to Assess the Effect of COVID-19 Pandemic Period on the Rate

E. J. Okon & I. N. Ikpang · Asian Journal of Probability and Statistics · 2020

Aims: To model exchange rate values between Naira and US Dollar in order to assess the effect of the COVID-19 pandemic period on the rate by examining the forecasts. Study Design: The study design is the longitudinal research design. Place and Duration of Study: Real life data of...

Open access Research Article 10.9734/ajpas/2020/v8i130200

A Note on Second Order Slope Rotatable Designs under Intra-class Correlated Errors Using Pairwise Balanced Designs

K. Rajyalakshmi, B. Sulochana & B. Re. Victorbabu · Asian Journal of Probability and Statistics · 2020

In this paper, a study on second order slope rotatable designs under intra-class correlation structure of errors using pairwise balanced designs is suggested. Further, the variance function of the estimated slopes for different values of intra-class correlated coefficient ‘ ’ for...

Open access Research Article 10.9734/ajpas/2020/v8i130199

An Effcient Method to Find Approximate Solutions for Emden-Fowler Equations of nth Order

Nuha Mohammed Dabwan & Yahya Qaid Hasan · Asian Journal of Probability and Statistics · 2020

In this research, Emden-Fowler equations of higher order with boundary conditions are considered and solved using Modied Adomian Decomposition Method (MADM). We dened a new differential operator under two conditions: rst condition when m ≤ 0 and second condition when m ≥ 0. From...

Open access Research Article 10.9734/ajpas/2020/v8i130195

The Hamza Distribution with Statistical Properties and Applications

Ahmad Aijaz, Muzamil Jallal, S. Qurat Ul Ain & Rajnee Tripathi · Asian Journal of Probability and Statistics · 2020

This paper suggested a new two parameter distribution named as Hamza distribution. A detailed description about the properties of a suggested distribution including moments, moment generating function, deviations about mean and median, stochastic orderings, Bonferroni and Lorenz...

Open access Research Article 10.9734/ajpas/2020/v8i130198

Nonparametric Methods for the Nondecreasing Ordered Hypothesis in a Mixed Design

Badr Alnssyan & Rhonda C. Magel · Asian Journal of Probability and Statistics · 2020

Aims: Introduce two new test statistics in testing for the nondecreasing alternative in a mixed design consisting of a Completely Randomized Portion and a Randomized Complete Block Portion. Study Design: Simulation study comparing four test statistics for the nondecreasing altern...

Open access Research Article 10.9734/ajpas/2020/v7i430193

Optimal Prediction Variance Capabilities of Inscribed Central Composite Designs

Julius C. Nwanya & Kelechukwu C. N. Dozie · Asian Journal of Probability and Statistics · 2020

This study looks at the effects of replication on prediction variance performances of inscribe central composite design especially those without replication on the factorial and axial portion (ICCD1), inscribe central composite design with replicated axial portion (ICCD2) and ins...

Open access Research Article 10.9734/ajpas/2020/v8i130194

Some Median Type Estimators to Estimate the Finite Population Mean

Waqar Hafeez, Javid Shabbir, Muhammad Taqi Shah & Shakeel Ahmed · Asian Journal of Probability and Statistics · 2020

Researchers always appreciates estimators of finite population quantities, especially mean, with maximum efficiency for reaching to valid statistical inference.  Apart from ratio, product and regression estimators, exponential estimators are widely considered by survey statistici...

Open access Research Article 10.9734/ajpas/2020/v7i430192

A New Odd Lindley-Gompertz Distribution: Its Properties and Applications

Omolola Dorcas Atanda, Tajan Mashingil Mabur & Gerald Ikechukwu Onwuka · Asian Journal of Probability and Statistics · 2020

This article presents a comprehensive study of an odd Lindley-Gompertz distribution which has already been proposed in the literature but without any properties. The present study unlike the previous one has considered the derivation of several properties of the odd Lindley-Gompe...

Open access Research Article 10.9734/ajpas/2020/v7i430191