Convergence in distribution of quotients of order statistics

DOI10.1016/0304-4149(75)90027-7zbMath0319.62030OpenAlexW1990929305MaRDI QIDQ1222923

A. J. Stam, B. Smid

Publication date: 1975

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(75)90027-7

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items

Characterization of tail distributions based on record values by using the Beurling's Tauberian theorem ⋮ Asymptotics for ratios with applications to reinsurance ⋮ The outlier behaviour of probability distributions ⋮ Ratios of ordered points of point processes with regularly varying intensity measures ⋮ Complete convergence for arrays of ratios of order statistics ⋮ Large deviations for proportions of observations which fall in random sets determined by order statistics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extremal processes. II
• On Extreme Order Statistics
• Extremal Processes
• On record values and record times
• On a General Tauberian Theorem
• A Useful Convergence Theorem for Probability Distributions