American Journal of Theoretical and Applied Statistics

Volume 13, Issue 6, December 2024

  • Research Article

    Measuring Total Factor Productivity in General Technical Progress Framework

    Lei Qinli*

    Issue: Volume 13, Issue 6, December 2024
    Pages: 181-192
    Received: 7 October 2024
    Accepted: 25 October 2024
    Published: 12 November 2024
    DOI: 10.11648/j.ajtas.20241306.11
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    Abstract: The classical Solow's total factor productivity accounting assumes that technical progress is Hicks neutral, which is a special situation in the reality of world economy. This paper expands the setting of technical progress into general technical progress framework, which can cover Hicks neutral technical progress, Harrod neutral technical progress... Show More
  • Research Article

    Assessing the Quality of Ordinary Least Squares in General Lp Spaces

    Kevin Hoffman, Hugo Moises Montesinos-Yufa*

    Issue: Volume 13, Issue 6, December 2024
    Pages: 193-202
    Received: 20 September 2024
    Accepted: 18 October 2024
    Published: 18 November 2024
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    Abstract: In the context of regression analysis, we propose an estimation method capable of producing estimators that are closer to the true parameters than standard estimators when the residuals are non-normally distributed and when outliers are present. We achieve this improvement by minimizing the norm of the errors in general Lp spaces, as opposed to min... Show More
  • Research Article

    Self-Exciting Threshold Autoregressive (SETAR) Modelling of the NSE 20 Share Index Using the Bayesian Approach

    Jacinta Muindi*, George Muhua, Ronald Wanyonyi

    Issue: Volume 13, Issue 6, December 2024
    Pages: 203-212
    Received: 11 October 2024
    Accepted: 4 November 2024
    Published: 26 November 2024
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    Abstract: The analysis and interpretation of time series data is of great importance across different fields, including economics, finance, and engineering, among other fields. This kind of data, characterized by sequential observations over time, sometimes exhibits complex patterns and trends that some commonly used models, such as linear autoregressive (AR... Show More
  • Review Article

    Methods of Optimal Accelerated Life Test Plans: A Review

    Jitendra Kumar*, Kaushal Kumar, Nesar Ahmad

    Issue: Volume 13, Issue 6, December 2024
    Pages: 213-226
    Received: 1 November 2024
    Accepted: 21 November 2024
    Published: 9 December 2024
    DOI: 10.11648/j.ajtas.20241306.14
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    Abstract: Accelerated life tests (ALT) have been used as a powerful tool to obtain time based information on the life span or performance characteristics over time of the items. Tests are performed under higher stressed levels instead of under normal use constraints. Obtained information as tests results are used to make predictions about life span over time... Show More