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Volume 5, Issue 4, Article 104 |
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Bounds on the Expectations of $k^{th}$ Record Increments
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Authors: |
Mohammad Z. Raqab, |
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Keywords:
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Record statistics; Record increments; Bounds for moments; Moriguti monotone approximation. |
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Date Received:
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09/10/03 |
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Date Accepted:
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11/11/04 |
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Subject Codes: |
62G30, 62G32, 62E10, 62E15.
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Editors: |
Charles E. M. Pearce, |
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Abstract: |
Here in this paper, we establish sharp bounds on the expectations of kth record increments from general and non-negative parent distributions. We also determine the probability distributions for which the bounds are attained. The bounds are numerically evaluated and compared with other rough bounds.
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