Abstract
Analogous to Kingman's Poisson Counts, power law counts are defined. Further, these are used to obtain the maximum likelihood estimator of the scale parameter of a power law process. Comparison of this estimator is done with those obtained by using other sampling schemes. Also, cost comparisons are done under the assumption of equal asymptotic variances under different sampling schemes.
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Work done while the author was with the Department of Statistics, University of Poona. Current address: Dept. of Mathematics, CME, Pune.
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Dharmadhikari, A.D., Naik-Nimbalkar, U.V. & Bhyri, S. Estimation of the scale parameter of a power law process using power law counts. Ann Inst Stat Math 41, 139–148 (1989). https://doi.org/10.1007/BF00049114
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DOI: https://doi.org/10.1007/BF00049114