![Loading...](https://link.springer.com/static/c4a417b97a76cc2980e3c25e2271af3129e08bbe/images/pdf-preview/spacer.gif)
-
Article
Necessary conditions for characterization of laws via mixed sums
SupposeX andY are independent and identically distributed, and independent ofU which satisfies 0≤U≤1. Recent work has centered on finding the lawsL(X) for whichX ℞U(X+Y) where ℞ denotes equality in law. We show t...
-
Article
Characterizations, length-biasing, and infinite divisibility
SupposeL(X) is the law of a positive random variableX, andZ is positive and independent ofX. Admissible solution pairs (L(X),L(Z)) are sought for the in-law equation
-
Article
Characterization of laws by balancing weighting against a binary operation
LetL(X) be the law of a positive random variableX, andZ be positive and independent ofX. Solution pairs (L(X), L(Z)) are sought for the in-law equation ...
-
Article
Criteria for Convergence of the Number of Near Maxima for Long Tails
Let M n denote the maximum of a random sample of size n and K n (a) be the number of near maxima, i.e. the number of sample observations in the...
-
Article
Limit theorems for numbers of near-records
Observations occurring between successive record times and within a distance a > 0 of the current record value are called near-records. Limit theorems for the number ξ n
-
Article
Limit theorems for record counts and times in the F α -scheme
We determine the almost sure and central limiting behaviour of the number of records and record times for the F α -scheme. Elementary methods are used to obtain ...
-
Article
On relative stability and weighted laws of large numbers
Weighted laws of large numbers are established for components which are independent copies of a positive relatively stable law and the weights comprise a regularly varying sequence. The index of regular variat...