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Let Y₁, ⋯, Yₙ be an ordered sample from a density with mode θ. We propose to estimate θ by suitable points in the interval formed by the first and the last of those s consecutive Yᵢ's which are closest together. Choices of s which yield consistency of these estimates, the speed of convergence and asymptotic distributions are discussed in this paper.
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J. H. Venter (1967) studied this question.
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