Abd-EI-Hakim, N., Ahmad, K. (1992). On the Modes of a Mixture of two Inverse Gaussian Distributions. test, 36(2), 226-233. doi: 10.21608/esju.1992.314863
Nagi S. Abd-EI-Hakim; Khalal E. Ahmad. "On the Modes of a Mixture of two Inverse Gaussian Distributions". test, 36, 2, 1992, 226-233. doi: 10.21608/esju.1992.314863
Abd-EI-Hakim, N., Ahmad, K. (1992). 'On the Modes of a Mixture of two Inverse Gaussian Distributions', test, 36(2), pp. 226-233. doi: 10.21608/esju.1992.314863
Abd-EI-Hakim, N., Ahmad, K. On the Modes of a Mixture of two Inverse Gaussian Distributions. test, 1992; 36(2): 226-233. doi: 10.21608/esju.1992.314863

On the Modes of a Mixture of two Inverse Gaussian Distributions

The Egyptian Statistical Journal
Article 5, Volume 36, Issue 2, December 1992, Pages 226-233
Document Type: Original Article
DOI: 10.21608/esju.1992.314863
Authors
Nagi S. Abd-EI-Hakim; Khalal E. Ahmad
Abstract
In this paper, the mixture of two Inverse Gaussian distributions (MIG) is considered. The approach of the study presents a procedure for answering the question of whether MIG is unimodal or not. We show that MIG is bimodal in certain cases, otherwise it is unimodal. Some conditions under which MIG is either unimodal or bimodal are discussed. A simple iterative formula is given, which always converges, for finding the modes.
Keywords
Convergence; Inverse Gaussian Distributions; Iterative Formula; Mixture Data; Mode Finding
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