Interval Estimation of the Overlapping Coefficient of Two Multivariate Normal Distributions

  • Sibil Jose Department of Statistics, St. George’s College Aruvithura, Kottayam, Kerala, India
  • Seemon Thomas Department of Statistics, St. Thomas College Pala, Kottayam, Kerala, India
Keywords: Generalized pivotal statistic, generalized p-value, delta method, bootstrap calibration

Abstract

This paper introduces the use of a generalized pivotal statistic for the interval estimation of the overlapping coefficient between two multivariate normal distributions. Percentile bootstrap and the delta methods are also considered. Simulation results are reported to compare the performance of these methods in terms of expected lengths and coverage probabilities of the confidence intervals. The value of overlapping coefficient is the major deciding factor affecting the performance of the confidence intervals. For small values of gif.latex?\rho, the generalized pivotal quantity (GPQ) method provides satisfactory performance. Illustrative examples are also presented.

Downloads

Download data is not yet available.
Published
2020-09-23
Section
Articles