American Journal of Theoretical and Applied Statistics

Volume 2, Issue 3, May 2013

  • Estimation of the Expected Period of acquired Tuberculosis to Become a Chronic Tuberculosis

    O. M. Adetutu, L. A. Nafiu, O. M. Adetutu, L. A. Nafiu

    Issue: Volume 2, Issue 3, May 2013
    Pages: 42-47
    Received: 10 April 2013
    Published: 2 May 2013
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    Abstract: In order to assess hazards pose by chronic tuberculosis, a table similar to a life table is prepared to estimate the expected period of the acquired tuberculosis to become chronic tuberculosis. This is ailment attributable to the Mycobacterium tuberculosis. Confidence bounds for the estimate were also derived. An example is given using a data set f... Show More
  • Using the Markov Chain Monte Carlo Method to Make Inferences on Items of Data Contaminated by Missing Values,

    I. Karangwa, D. Kotze

    Issue: Volume 2, Issue 3, May 2013
    Pages: 48-53
    Received: 7 April 2013
    Published: 2 May 2013
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    Abstract: The Markov Chain Monte Carlo (MCMC) is a method that is used to estimate parameters of interest under difficult conditions such as missing data or when underlying distributions do not fit the assumptions of Maximum Likelihood processes. The objective of this process is to find a probability distribution known as a posterior distribution in Bayesian... Show More
  • Definition of Probability Characteristics of the Absolute Maximum of Non-Gaussian Random Processes by Example of Hoyt Process

    O. V. Chernoyarov, A. V. Salnikova, Ya. A. Kupriyanova

    Issue: Volume 2, Issue 3, May 2013
    Pages: 54-60
    Received: 3 May 2013
    Published: 30 May 2013
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    Abstract: The technique of a finding of distribution functions of an absolute maximum of non-Gaussian random processes has been illustrated. On an example of Hoyt process the limiting distribution laws of its absolute maximum have been found. By methods of statistical modeling it has been established that the given asymptotic approximations ensure a satisfac... Show More
  • Latent growth curve modeling of psychological well-being trajectories

    M. Fátima Salgueiro, Joana Malta

    Issue: Volume 2, Issue 3, May 2013
    Pages: 61-66
    Received: 23 April 2013
    Published: 30 May 2013
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    Abstract: This Paper Proposes Modeling Trajectories of Psychological Well-being Using Latent Growth Curve models (LGCMs). The psychometric scale of the General Health Questionnaire-12 (GHQ-12) is considered. Data from the British Household Panel Survey (BHPS), from years 2003 to 2006 are used. In 1991 Graetz proposed the GHQ-12 as a multidimensional scale, c... Show More
  • Noise and Signal Estimation in MRI: Two-Parametric Analysis of Rice-Distributed Data by Means of the Maximum Likelihood Approach

    Tatiana V. Yakovleva, Nicolas S. Kulberg

    Issue: Volume 2, Issue 3, May 2013
    Pages: 67-80
    Received: 30 April 2013
    Published: 10 June 2013
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    Abstract: The paper’s subject is the elaboration of a new approach to image analysis on the basis of the maximum likelihood method. This approach allows to get simultaneous estimation of both the image noise and the signal within the Rician statistical model. An essential novelty and advantage of the proposed approach consists in reducing the task of solving... Show More
  • Process Optimization for Synthesis of Anti-Tuberculosis Drug Catalyzed by Fluor apatite Supported Potassium Fluoride

    Younes Abrouki, Abdelkader Anouzla, Hayat Loukili, Rabiaâ Lotfi, Ahmed Rayadh, Abdellah Bahlaoui, Saı̈d Sebti, Driss Zakarya, Mohamed Zahouily

    Issue: Volume 2, Issue 3, May 2013
    Pages: 81-86
    Received: 29 May 2013
    Published: 20 June 2013
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    Abstract: The optimization of the synthesis of anti-tuberculosis drug by thia-Michael addition between thiophenol and chalcone catalyzed using activated Fluorapatite supported potassium fluoride (KF/FAP) was studied using a 2 block central composite design including 4 factors (reaction time, solvent volume, catalyst weight and impregnation ratio). The high r... Show More
  • Mathematical and Simulation of Lid Driven Cavity Flow at Different Aspect Ratios Using Single Relaxation Time Lattice Boltzmann Technique

    Anil Kumar, S P Agrawal

    Issue: Volume 2, Issue 3, May 2013
    Pages: 87-93
    Received: 30 May 2013
    Published: 20 June 2013
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    Abstract: In this paper we, consider a restrictions on the choice of relaxation time in single relaxation time (SRT) models, simulation of flows is generally limited base on this technique. In the current study of the SRT lattice Boltzmann equation have been used to simulate lid driven cavity flow at various Reynolds numbers (100-5000) and three aspect ratio... Show More