American Journal of Theoretical and Applied Statistics

Volume 5, Issue 5, September 2016

  • Non-parametric Variance Estimation Using Donor Imputation Method

    Hellen W. Waititu, Edward Njenga

    Issue: Volume 5, Issue 5, September 2016
    Pages: 252-259
    Received: 1 July 2016
    Accepted: 16 July 2016
    Published: 3 August 2016
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    Abstract: The main objective of this study is to investigate the relative performance of donor imputation method in situations that are likely to occur in practice and to carry out numerical comparative study of estimators of variance using Nadaraya-Watson kernel estimators and other estimators. Nadaraya-Watson kernel estimator can be viewed as a non-paramet... Show More
  • Application of Loess Procedure in Modelling Geothermal Well Discharge Data from Menengai Geothermal Wells in Kenya

    Madegwa James Etyang, Edward Gachangi Njenga

    Issue: Volume 5, Issue 5, September 2016
    Pages: 260-269
    Received: 15 July 2016
    Accepted: 22 July 2016
    Published: 6 August 2016
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    Abstract: To measure the output of a geothermal well, also known as amount of megawatts of a well, discharge tests are done between two to four months after drilling of the well to collect the relevant types of data which includes wellhead pressure, lip pressure and the weir height. After collection of these data, [8] formula is applied in determining the we... Show More
  • Intrinsically Ties Adjusted Partial Tau (C-Tap) Correlation Coefficient

    Oyeka Ikewelugo Cyprian Anaene, Osuji George Amaeze, Obiora-Ilouno Happiness Onyebuchi

    Issue: Volume 5, Issue 5, September 2016
    Pages: 270-279
    Received: 21 December 2015
    Accepted: 24 May 2016
    Published: 10 August 2016
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    Abstract: This paper present a non-parametric statistical method for the estimation of partial correlation coefficient intrinsically adjusted for tied observations in the data. The method based on a modification of the method of estimating Tau correlation coefficient may be used when the population of interest are measurements on as low as the ordinal scale ... Show More
  • On Properties of the Inverse Cube Transformation of Error Component of the Multiplicative Time Series Model

    Dike A. O., Otuonye E. L., Chikezie D. C., Sambo D.

    Issue: Volume 5, Issue 5, September 2016
    Pages: 280-284
    Received: 19 May 2016
    Accepted: 1 July 2016
    Published: 17 August 2016
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    Abstract: This paper examines the inverse cube transformation of error component of multiplicative time series model. The probability density function (pdf) of the inverse cube root transformation of the multiplicative time series model was established, Further the was mathematically proved as a proper pdf since The Statistical properties (mean and variance) of the inverse cube transformation were equally shown.
  • Towards Efficiency in the Residual and Parametric Bootstrap Techniques

    Acha Chigozie K., Omekara Chukwuemeka O.

    Issue: Volume 5, Issue 5, September 2016
    Pages: 285-289
    Received: 20 July 2016
    Accepted: 30 July 2016
    Published: 17 August 2016
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    Abstract: There are many bootstrap methods that can be used for statistical analysis especially in econometrics, biometrics, Statistics, Sampling and so on. The sole aim of this paper is to ascertain the accuracy and efficiency of the estimates from the independent and identically distributed (iid) simple linear regression (SLR) model under a variety of asse... Show More
  • Estimating Survivor Function Using Adjusted Product Limit Estimator in the Presence of Ties

    Job Isaac Mukangai, Leo Odiwuor Odongo

    Issue: Volume 5, Issue 5, September 2016
    Pages: 290-296
    Received: 21 July 2016
    Accepted: 1 August 2016
    Published: 21 August 2016
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    Abstract: We develop an adjusted Product Limit estimator for estimating survival probabilities in the presence of ties that incorporates censored individuals using the proportion of failing for uncensored individuals. We also develop a variance estimator of the adjusted Product Limit estimator for calculating confidence intervals. Simulation studies are carr... Show More
  • Research on the Status of Beijing-Tianjin-Hebei Logistics Operating

    Chen Xiaochun

    Issue: Volume 5, Issue 5, September 2016
    Pages: 297-304
    Received: 31 July 2016
    Accepted: 9 August 2016
    Published: 25 August 2016
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    Abstract: Beijing-Tianjin-Hebei logistics enterprises has taken place a huge change in the service market under the development direction of personalized, diversified for consumer demand. Fierce market competition forces logistics enterprises to expand and improve its service connotation and extension. After many years, Beijing-Tianjin-Hebei logistics enterp... Show More
  • Some Properties of the Size-Biased Janardan Distribution

    Shakila Bashir, Mujahid Rasul

    Issue: Volume 5, Issue 5, September 2016
    Pages: 305-310
    Received: 3 July 2016
    Accepted: 19 July 2016
    Published: 21 September 2016
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    Abstract: Janardan Distribution is one of the important distributions from lifetime models and it has many applications in real life data. A size-biased form of the two parameter Janardan distribution has been introduced in this paper, of which the size-biased Lindley distribution is a special case. Its moments, median, skewness, kurtosis and Fisher index of... Show More
  • Investigating Nepal’s Gross Domestic Product from Tourism: Vector Error Correction Model Approach

    Basanta Dhakal, Azay Bikram Sthapit, Shankar Prasad Khanal

    Issue: Volume 5, Issue 5, September 2016
    Pages: 311-316
    Received: 31 August 2016
    Accepted: 9 September 2016
    Published: 28 September 2016
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    Abstract: This study tries to examine long run and short run relationship of foreign exchange earnings from tourism and average expenditure of international tourists towards share of gross domestic product (GDP) of Nepalese tourism by using Vector Error Correction Model (VECM). A multivariate time series analysis has been applied from the period of 1991 to 2... Show More
  • A Multiplicative Bias Corrected Nonparametric Estimator for a Finite Population Mean

    Bonface Miya Malenje, Winnie Onsongo Mokeira, Romanus Odhiambo, George Otieno Orwa

    Issue: Volume 5, Issue 5, September 2016
    Pages: 317-325
    Received: 28 September 2015
    Accepted: 20 October 2015
    Published: 28 September 2016
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    Abstract: Nonparametric regression has been widely exploited in survey sampling to construct estimators for the finite population mean and total. It offers greater flexibility with regard to model specification and is therefore applicable to a wide range of problems. A major drawback of estimators constructed under this framework is that they are generally b... Show More
  • Poisson Inverse Gaussian (PIG) Model for Infectious Disease Count Data

    Vincent Moshi Ouma, Samuel Musili Mwalili, Anthony Wanjoya Kiberia

    Issue: Volume 5, Issue 5, September 2016
    Pages: 326-333
    Received: 9 September 2016
    Accepted: 21 September 2016
    Published: 10 October 2016
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    Abstract: Traditionally, statistical models provide a general basis for analysis of infectious disease count data with its unique characteristics such as low disease counts, underreporting, reporting delays, seasonality, past outbreaks and lack of a number of susceptible. Through this approach, statistical models have provided a popular means of estimating s... Show More