The almost sure behavior of maximal and minimal multivariate kn-spacings

Journal of Multivariate Analysis

Volumn 24, Issue 1, 1988, Pages 155-176

  Deheuvels, Paul ^a   Einmahl, John H J ^b   Mason, David M ^c   Ruymgaart, Frits H ^d  

^a SORBONNE UNIVERSITÉ   (France)

^b MAASTRICHT UNIVERSITY   (Netherlands)

^c UNIVERSITY OF DELAWARE   (United States)

^d RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

Author keywords

Empirical measures; multivariate spacings; strong laws

Indexed keywords

EID: 38249031926     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/0047-259X(88)90109-1     Document Type: Article

References (21)

1. The empirical distribution function and strong laws for functions of order statistics of uniform spacings
2. Strong limiting bounds for maximal uniform spacings
3. Strong bounds for multidimensional spacings
4. Strong limit theorems for maximal spacings from a general univariate distribution
5. Spacings and applications
6. On the influence of the extremes of an iid sequence on the maximal spacings
7. Strong laws for the maximal k-spacing when k ≤ c log n
8. Laws of the iterated logarithm for order statistics of uniform spacings
9. A loglog law for maximal uniform spacings
10. Upper and lower class sequences for minimal uniform spacings
11. The almost sure behaviour of the oscillation modulus of the multivariate empirical process
12. Strong bounds for weighted empirical distribution functions based on uniform spacings
13. ε-Entropy of sets of probability distribution functions and their Fourier-Stieltjes transforms
14. Maximal spacings in several dimensions
15. n ↓ 0
16. ε-Entropy and ε-capacity of sets in functional spaces
17. An inequality involving multinomial probabilities
18. A strong limit theorem for the oscillation modulus of the uniform empirical quantile process
19. Entropy and maximal spacings for random partitions