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Optimum group limits for estimation in scaled log-logistic distribution from a grouped data

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Abstract

The well known logistic distribution is considered. A transformation of the logistic variate in terms of exponential function results in a new distribution called log-logistic distribution suggested by Balakrishnanet al (1987). Estimation of its scale parameter from a grouped data is presented. Optimal group limits in the case of equispaced as well as unequispaced groupings so as to have a maximum asymptotic relative efficiency are worked out. The grouping correction in the case of equispaced grouped data with a mid point type estimator is also suggested. The results are expalined by an example.

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Authors and Affiliations

  1. Department of Statistics, Nagarjuna University, Guntur, India

    R. R. L. Kantam & A. Vasudeva Roa

  2. Department of Statistics, JKC College, Guntur, India

    G. Srinivasa Roa

Authors
  1. R. R. L. Kantam
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  2. A. Vasudeva Roa
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  3. G. Srinivasa Roa
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Kantam, R.R.L., Roa, A.V. & Roa, G.S. Optimum group limits for estimation in scaled log-logistic distribution from a grouped data. Statistical Papers 46, 359–377 (2005). https://doi.org/10.1007/BF02762839

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  • DOI: https://doi.org/10.1007/BF02762839

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