Characterizations of Pareto distribution by the assumption of identical distributions on upper record values
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| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00010-014-0331-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0331-1 | ||
| 100 | 1 | |a Lee |D Min-Young |u Department of Mathematics, Dankook University, 330-714, Cheonan, Korea |4 aut | |
| 245 | 1 | 0 | |a Characterizations of Pareto distribution by the assumption of identical distributions on upper record values |h [Elektronische Daten] |c [Min-Young Lee] |
| 520 | 3 | |a Let $${\{X_k, k\ge 1\}}$$ { X k , k ≥ 1 } be a sequence of i.i.d. random variables which has absolutely continuous distribution function F such that F(1) = 0 and F(x) < 1 for all x > 1. We show that if $${F \in C_1}$$ F ∈ C 1 , alternatively, $${F \in C_2}$$ F ∈ C 2 or $${F \in C_3}$$ F ∈ C 3 , then X k 's have the Pareto distribution if and only if W n+1,n has an identical distribution with X k for all $${n\ge 1}$$ n ≥ 1 , alternatively, W n+1,n has an identical distribution with W n,n-1 for all $${n\ge 2}$$ n ≥ 2 or X U(n+1) and X U(n)· U are identically distributed, U is independent of X U(n) and X U(n+1), and U is distributed as X k 's for all $${n\ge 1}$$ n ≥ 1 . | |
| 540 | |a Springer Basel, 2014 | ||
| 690 | 7 | |a Absolutely continuous distribution |2 nationallicence | |
| 690 | 7 | |a identical distribution |2 nationallicence | |
| 690 | 7 | |a upper record values |2 nationallicence | |
| 690 | 7 | |a characterization |2 nationallicence | |
| 690 | 7 | |a Pareto distribution |2 nationallicence | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/5(2015-10-01), 1329-1334 |x 0001-9054 |q 89:5<1329 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0331-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-014-0331-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Lee |D Min-Young |u Department of Mathematics, Dankook University, 330-714, Cheonan, Korea |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/5(2015-10-01), 1329-1334 |x 0001-9054 |q 89:5<1329 |1 2015 |2 89 |o 10 | ||