Asymptotic distributions for weighted power sums of extreme values
Let X1,n ≤ · · · ≤ Xn,n be the order statistics of n independent random variables with a common distribution function F having right heavy tail with tail index γ. Given known constants di,n, 1 ≤ i ≤ n, consider the weighted power sums Pkn i=1 dn+1−i,n logp Xn+1−i,n, where p > 0 and the kn are pos...
Saved in:
Main Authors: |
Oluoch Lillian Achola Viharos László |
---|---|
Format: | Article |
Published: |
2021
|
Series: | Acta scientiarum mathematicarum
87 No. 1-2 |
Kulcsszavak: | Matematika |
doi: | 10.14232/actasm-020-323-9 |
Online Access: | http://acta.bibl.u-szeged.hu/73932 |
Similar Items
-
Limit laws of weighted power sums of extreme values and Statistical analysis of partition lattices
by: Oluoch Lillian Achola
Published: (2021) -
Asymptotic distributions of linear combinations of extreme valutes
by: Viharos László
Published: (1993) -
Limit theorems for linear combinations of extreme values with applications to inference about the tail of distribution
by: Viharos László
Published: (1995) -
On the distribution of sums of overlapping products
by: Móri Tamás F.
Published: (2001) -
Some equations concerning the sums of powers of integers
by: Szabó László Imre
Published: (2001)