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Establishing the Rainfall Trend over Bungoma Region in Kenya, During the Short and Long Rain Seasons

Davis Mwenda Marangu & Samson W. Wanyonyi · Asian Journal of Probability and Statistics · 2018

This paper is aimed at presenting the temporal and spatial variability of rainfall over Bungoma region between 2000 and 2015. Rainfall data was obtained for 5 stations in the region. The data was subjected to analyses by use of Microsoft Excel and SPSS. The results from analysis...

Open access Research Article 10.9734/ajpas/2018/v1i424554

On the Properties and Applications of Lomax-Exponential Distribution

Terna Godfrey Ieren & David Adugh Kuhe · Asian Journal of Probability and Statistics · 2018

The Exponential distribution is memoryless and has a constant failure rate which makes it unsuitable for real life problems. This paper introduces a new distribution powered by an exponential random variable which gives a more flexible model for modelling real-life data. This new...

Open access Research Article 10.9734/ajpas/2018/v1i424557

On the Properties and Applications of Transmuted Odd Generalized Exponential-Exponential Distribution

Jamila Abdullahi, Umar Kabir Abdullahi, Terna Godfrey Ieren, David Adugh Kuhe & Adamu Abubakar Umar · Asian Journal of Probability and Statistics · 2018

This article proposed a new distribution referred to as the transmuted odd generalized exponential-exponential distribution (TOGEED) as an extension of the popular odd generalized exponential- exponential distribution by using the Quadratic rank transmutation map (QRTM) proposed...

Open access Research Article 10.9734/ajpas/2018/v1i424552

Computational Generalization of Mixed Models on Large-Scale Data with Applications to Genetic Studies

Samson W. Wanyonyi, Drinold A. Mbete & Emile R. Chimusa · Asian Journal of Probability and Statistics · 2018

Aims: To discuss different LMM-based approaches applied in GWAS and software packages implementation and Classify different computational tools that applies LMM approaches according to their applicability and performance. To identify possible SNPs associated to a particular disea...

Open access Research Article 10.9734/ajpas/2018/v1i424550

Comparison of the Bootstrap and Delta Method Variances of the Variance Estimator of the Bernoulli Distribution

Ying-Ying Zhang, Teng-Zhong Rong & Man-Man Li · Asian Journal of Probability and Statistics · 2018

It is interesting to calculate the variance of the variance estimator of the Bernoulli distribution. Therefore, we compare the Bootstrap and Delta Method variances of the variance estimator of the Bernoulli distribution in this paper. Firstly, we provide the correct Bootstrap, De...

Open access Research Article 10.9734/ajpas/2018/v1i424547

The Transmuted Odd Lindley-G Family of Distributions

Hesham Reyad, Farrukh Jamal, Soha Othman & G. G. Hamedani · Asian Journal of Probability and Statistics · 2018

We propose a new generator of univariate continuous distributions with two extra parameters called the transmuted odd-Lindley generator which extends the odd Lindely-G family introduced by Gomes-Silva et al. [1]. Some mathematical properties of the new generator such as, the ordi...

Open access Research Article 10.9734/ajpas/2018/v1i324544

Refinements of Gaussian Tail Inequality

N. A. Rather & T. A. Rather · Asian Journal of Probability and Statistics · 2018

In this paper, we first prove a theorem which gives considerably better bound for 0 ≤ t ≤ 1/2 than Gaussian tail inequality (or tail bound for normal density) and thus is a refinement of Gaussian tail inequality in this case. Next we present an interesting result which provides a...

Open access Research Article 10.9734/ajpas/2018/v1i324541

Analysis of Rainfall Pattern in the Western Region of Ghana

Frank B. K. Twenefour, Michael Techie Quaicoe & Emmanuel M. Baah · Asian Journal of Probability and Statistics · 2018

The primary aim for this paper is to examine the pattern of rainfall in the western region of Ghana. Data was obtained from the Ghana Meteorological Agency. The sample include January to September pattern of the amount of rainfall, for the years 2006 to 2016. That is nominal dail...

Open access Research Article 10.9734/ajpas/2018/v1i324538

Generalized Euclidean Least Square Approximation

A. S. Oke, S. M. Akintewe & A. G. Akinbande · Asian Journal of Probability and Statistics · 2018

A Generalised Euclidean Least Square Approximation (ELS) is derived in this paper. The Generalised Euclidean Least Square Approximation is derived by generalizing the interpolation of n arbitrary data set to approximate functions. Existence and uniqueness of the ELS schemes are s...

Open access Research Article 10.9734/ajpas/2018/v1i324535

The Kumaraswamy Exponentiated U-Quadratic Distribution: Properties and Application

Mustapha Muhammad, Isyaku Muhammad & Aisha Muhammad Yaya · Asian Journal of Probability and Statistics · 2018

In this paper, a new lifetime model called Kumaraswamy exponentiated U-quadratic (KwEUq) distribution is proposed. Several mathematical and statistical properties are derived and studied such as the explicit form of the quantile function, moments, moment generating function, orde...

Open access Research Article 10.9734/ajpas/2018/v1i324532

Group Divisible Variance – Sum Third Order Rotatable Design through Balanced Incomplete Block Designs in Four Dimensions

N. Chebet, M. Kosgei & G. Kerich · Asian Journal of Probability and Statistics · 2018

In the study of rotatable designs, the variance of the estimated response at a point is a function of the distance of that point from a particular origin. Group divisible Rotatable Designs have been evolved by imposing conditions on the levels of factors in a rotatable design. In...

Open access Research Article 10.9734/ajpas/2018/v1i224529

A Mathematical Model that Analyzes the Differences between the Cost of Maintaining the Desired Permanent Workforce (Academic Staff) and that of Maintaining the Entire Outsourcing Policy for Private Universities in Nigeria

O. Enagbonma & A. A. Osagiede · Asian Journal of Probability and Statistics · 2018

The difference between the cost of maintaining the desired permanent workforce (academic staff) and that of maintaining the entire outsourcing policy is a useful index that allows management of private universities to know the financial task before them, well ahead of time for a...

Open access Research Article 10.9734/ajpas/2018/v1i224510

Modeling Count Data from Dependent Clusters with Poisson Mixed Models

K. A. N. K. Karunarathna & Pushpakanthie Wijekoon · Asian Journal of Probability and Statistics · 2018

Responses collected from dependent clusters are affected by the dependence among clusters and it should be taken into account in modeling such responses. In this study, a new approach was evaluated to incorporate cluster dependence in generalized linear Poisson mixed models for c...

Open access Research Article 10.9734/ajpas/2018/v1i224505