Abstract
The measures of niche overlap are used to assess the similarity or dissimilarity of two populations. Matusita's measure is one of the commonly used niche overlap measures. We discuss the problem of estimating Matusita's measure when the niches are bivariate normal distributions with missing observations. Under the assumption of equal variance of two variates in each population, we consider four cases depending on whether the variances and correlations for the two populations are common or different. The plug-in estimates of Matusita's measure by the Maximum Likelihood (ML) estimates and the REstricted or REsidual Maximum Likelihood (REML) estimates for dispersion parameters are considered, their asymptotic variances and bias are derived, and bias correction methods are proposed. Simulation study shows that the plug-in estimate by the REMLE tends to have smaller MSE than that by the MLE and the bias correction reduces MSE considerably.
Original language | English |
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Pages (from-to) | 39-69 |
Number of pages | 31 |
Journal | American Journal of Mathematical and Management Sciences |
Volume | 20 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 2000 Jan 1 |
Externally published | Yes |
Keywords
- Bias correction
- Niche overlap
- Similarity measures
ASJC Scopus subject areas
- Business, Management and Accounting(all)
- Applied Mathematics