American Journal of Theoretical and Applied Statistics

Volume 10, Issue 3, May 2021

  • English Premier League Scoreline Analysis: A Stochastic and Game Theory Approach

    Ngonadi Lilian Oluebube, Ezemma George Chijioke, Etaga Harrison Oghenekevwe, Ugoh Christogonus Ifeanyichukwu

    Issue: Volume 10, Issue 3, May 2021
    Pages: 136-145
    Received: 4 May 2021
    Accepted: 24 May 2021
    Published: 31 May 2021
    Downloads:
    Views:
    Abstract: Making an appropriate decision in the selection of sustainable club from other clubs studied involves the use of right statistical approach, hence the need for stochastic and game theory analysis of English premier league scoreline. The following clubs Manchester United (MU), Chelsea (C), Arsenal (A), Manchester City (MC), Liverpool (LP), Tottenham... Show More
  • Dependent Credit Default Risk Modelling Using Bernoulli Mixture Models

    Misile Kunene, Joseph Kyalo Mung’atu, Euna Nyarige

    Issue: Volume 10, Issue 3, May 2021
    Pages: 146-151
    Received: 6 May 2021
    Accepted: 24 May 2021
    Published: 31 May 2021
    Downloads:
    Views:
    Abstract: Generalized Linear Mixed Models (GLMMs) can be used to model the occurrence of defaults in a loan or bond portfolio. In this paper, we used a Bernoulli mixture model, a type of GLMMs, to model the dependency of default events. We discussed how Bernoulli mixture models can be used to model portfolio credit default risk, with the probit normal distri... Show More
  • Power of Overdispersion Tests in Zero-Truncated Negative Binomial Regression Model

    Enas Gawdat Yehia

    Issue: Volume 10, Issue 3, May 2021
    Pages: 152-157
    Received: 18 May 2021
    Accepted: 11 June 2021
    Published: 21 June 2021
    Downloads:
    Views:
    Abstract: Poisson regression is the most extensively used model for modeling data that are measured as counts. The main characteristic of Poisson regression model is the equidispersion limitation in which the mean and variance of the count variable are the same. However, in many situations the variance of the count variable is greater than the mean which cau... Show More
  • Poisson-Gamma and Spatial-Temporal Models: with Application to Cervical Cancer in Kenya’s Counties

    Joseph Kuria Waitara, Gregory Kerich, John Kihoro, Anne Korir

    Issue: Volume 10, Issue 3, May 2021
    Pages: 158-166
    Received: 1 June 2021
    Accepted: 18 June 2021
    Published: 26 June 2021
    Downloads:
    Views:
    Abstract: In Africa, Cancer is an emerging health problem where in 2012 new cancer cases were about 847,00 and around 519,00 deaths, three quarters of those deaths occurred in sub-Saharan region. In 2018, cancer was ranked as the third leading cause of deaths in Kenya after infectious and cardiovascular diseases. In 2018 cancer incidences were estimated to b... Show More
  • Sieve Estimation for Mixture Cure Rate Model with Informatively Interval-Censored Failure Time Data

    Yeqian Liu, James Plott, Yingxiao Huang

    Issue: Volume 10, Issue 3, May 2021
    Pages: 167-174
    Received: 10 June 2021
    Accepted: 23 June 2021
    Published: 29 June 2021
    Downloads:
    Views:
    Abstract: In biomedical and public health studies, interval-censored data arise when the failure time of interest is not exactly observed and instead only known to lie within an interval. Furthermore, the failure time and censoring time may be dependent. There may also exist a cured subgroup, meaning that a proportion of study subjects are not susceptible to... Show More