Sharp bounds for expectations of spacings from decreasing density and failure rate families

• Autorzy: Katarzyna Danielak , Tomasz Rychlik
• Języki publikacji: EN

Abstrakty

EN

We apply the method of projecting functions onto convex cones in Hilbert spaces to derive sharp upper bounds for the expectations of spacings from i.i.d. samples coming from restricted families of distributions. Two families are considered: distributions with decreasing density and with decreasing failure rate. We also characterize the distributions for which the bounds are attained.

Kategorie tematyczne

• 62G30: Order statistics; empirical distribution functions
• 62N05: Reliability and life testing
• 60E15: Inequalities; stochastic orderings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2004
• Tom: 31
• Numer: 4
• Strony: 369-395

Daty

wydano

2004

Twórcy

autor

Katarzyna Danielak

• Institute of Mathematics, Polish Academy of Sciences, P.O. Box 21, Śniadeckich 8, 00-956 Warszawa, Poland

autor

Tomasz Rychlik

• Institute of Mathematics, Polish Academy of Sciences, Chopina 12, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/am31-4-1