Science Journal of Applied Mathematics and Statistics

Volume 4, Issue 5, October 2016

  • Full Load Distribution Scheduling Problem for Refined Oil

    Xiaocun Mao, Xinxin Zhang, Zhenping Li

    Issue: Volume 4, Issue 5, October 2016
    Pages: 183-188
    Received: 27 June 2016
    Accepted: 13 August 2016
    Published: 25 August 2016
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    Abstract: This paper presents solution approaches for the multi-period multi-compartment Vehicle Routing Problem in fuel delivery. Multi-compartment vehicles are used for fuel distribution from one depot to a set of petrol stations that have deterministic fuel consumption of each hour. Due to the highly complicated assignment compartments of the same vehicle... Show More
  • Statistical Analysis of Adult HIV/AIDS Patients and Modelling of AIDS Disease Progression

    Desalegn Petros Kelkile

    Issue: Volume 4, Issue 5, October 2016
    Pages: 189-201
    Received: 4 August 2016
    Accepted: 13 August 2016
    Published: 13 September 2016
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    Abstract: This study has been intended to apply the cox proportional hazard model to review the determinant factors of survival time and discrete time homogeneous semi markov model to predict the clinical progression of AIDS disease by secondary data obtained from the antiretroviral therapy unit of Dilla and Hawassa University Referral Hospitals. Patients we... Show More
  • Non-destructive Prediction Models for Estimation of Leaf Area for Most Commonly Grown Vegetable Crops in Ethiopia

    Mikias Yeshitila, Matiwos Taye

    Issue: Volume 4, Issue 5, October 2016
    Pages: 202-216
    Received: 22 July 2015
    Accepted: 3 August 2015
    Published: 18 September 2016
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    Abstract: Leaf area (LA) is a valuable key for evaluating plant growth, therefore rapid, accurate, simple, and nondestructive methods for LA determination are important for physiological and agronomic studies. The objective of this study was to develop a model for leaf area prediction from simple non-destructive measurements in some most commonly cultivated ... Show More
  • Robust Control for Discrete-Time Singular Marovian Jump Systems with Partly Unknown Transition Rates

    Yuhong Liu, Hui Li, Qishui Zhong, Shouming Zhong

    Issue: Volume 4, Issue 5, October 2016
    Pages: 217-224
    Received: 19 September 2016
    Published: 23 September 2016
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    Abstract: This study investigates the problem of robust control for a class of discrete-time singular Marovian jump systems with partly unknown transition rates. Linear matrix inequality (LMI)-based sufficient conditions for the stochastic stability and robust control are developed. Then, a static output feedback controller and a robust static output feedbac... Show More
  • On Application of E – Linmap Model for Optimal Decision Making on Location of VIP Fast Food Restaurant in Akwa Ibom State, Nigeria

    Effanga Effanga Okon, Okpara Virtue Ihuoma

    Issue: Volume 4, Issue 5, October 2016
    Pages: 225-228
    Received: 13 August 2016
    Accepted: 22 August 2016
    Published: 28 September 2016
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    Abstract: In this paper, the extended LINMAP model developed in (Effanga and Okpara, 2015) is applied to make optimal decision on location of VIP fast food restaurant in Akwa State of Nigeria. The management of the VIP fast food restaurant considered extending their services to five towns (Uyo, Eket, Ikot Ekpene, Oron and Ikot Abasi) in Akwa Ibom State. The ... Show More
  • Minimax Estimation of the Parameter of ЭРланга Distribution Under Different Loss Functions

    Lanping Li

    Issue: Volume 4, Issue 5, October 2016
    Pages: 229-235
    Received: 31 August 2016
    Accepted: 12 September 2016
    Published: 8 October 2016
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    Abstract: The aim of this article is to study the estimation of the parameter of ЭРланга distribution based on complete samples. The Bayes estimators of the parameter of ЭРланга distribution are obtained under three different loss functions, namely, weighted square error loss, squared log error loss and entropy loss functions by using conjugate prior inverse... Show More
  • Empirical Bayes Test for Parameter of Inverse Exponential Distribution

    Guobing Fan

    Issue: Volume 4, Issue 5, October 2016
    Pages: 236-241
    Received: 4 September 2016
    Accepted: 12 September 2016
    Published: 8 October 2016
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    Abstract: The aim of this paper is to study the empirical Bayes test for the parameter of inverse exponential distribution. First, the Bayes test rule of one-sided test is derived in the case of independent and identically distributed random variables under weighted linear loss function. Then the empirical Bayes one-sided test rule is constructed by using th... Show More
  • Quantile Regression Model for Measurement of Equity Portfolio Risk a Case Study of Nairobi Securities Exchange

    Kinyua Mark Njega, Joseph Kyalo Mung’atu

    Issue: Volume 4, Issue 5, October 2016
    Pages: 242-248
    Received: 9 September 2016
    Accepted: 21 September 2016
    Published: 9 October 2016
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    Abstract: Quantile regression provides a method of estimating quantiles from a conditional distribution density. It is achieves this by minimizing asymmetrically weighted sum of absolute errors thus partitioning the conditional distribution into quantiles. Lower conditional quantiles are of interest in estimation of Value-at-Risk because they indicate downwa... Show More
  • Discussion on Normalization Methods of Interval Weights

    Yimeng Sui, Zhenyuan Wang

    Issue: Volume 4, Issue 5, October 2016
    Pages: 249-252
    Received: 16 October 2016
    Published: 17 October 2016
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    Abstract: This paper is collecting the classic and newly normalization methods, finding deficiency of existing normalization methods for interval weights, and introducing a new normalization methods for interval weights. When we normalize the interval weights, it is very important and necessary to check whether, after normalizing, the location of interval ce... Show More