-
1
-
-
84908503908
-
Second order Bonferroni-type, product-type and setwise inequalities
-
(Eds., Mossler and Scarsini), IMS Lecture Note Monograph Series, Hayward, CA
-
Block, H.W., Costigan, T., and Sampson, A.R., "Second order Bonferroni-type, product-type and setwise inequalities," in Stochastic Orders and Decisions Under Risk, (Eds., Mossler and Scarsini), pp 74-94, IMS Lecture Note Monograph Series, Hayward, CA, (1991a).
-
(1991)
Stochastic Orders and Decisions under Risk
, pp. 74-94
-
-
Block, H.W.1
Costigan, T.2
Sampson, A.R.3
-
2
-
-
85033855796
-
-
University of Pittsburgh Technical Report
-
Block, H.W., Costigan, T., and Sampson, A.R., "Second order upper and lower probability bounds," University of Pittsburgh Technical Report (1991b).
-
(1991)
Second Order Upper and Lower Probability Bounds
-
-
Block, H.W.1
Costigan, T.2
Sampson, A.R.3
-
3
-
-
84972017240
-
Product-type probability bounds of higher order
-
Block, H.W., Costigan, T., and Sampson, A.R., "Product-type probability bounds of higher order," Probability in the Engineering and Information Sciences, 6, 349-370 (1992).
-
(1992)
Probability in the Engineering and Information Sciences
, vol.6
, pp. 349-370
-
-
Block, H.W.1
Costigan, T.2
Sampson, A.R.3
-
4
-
-
0347388809
-
Optimal second order probability bounds
-
Block, H.W., Costigan, T., and Sampson, A.R., "Optimal second order probability bounds," Journal of Applied Probability, 30, 675-691 (1993).
-
(1993)
Journal of Applied Probability
, vol.30
, pp. 675-691
-
-
Block, H.W.1
Costigan, T.2
Sampson, A.R.3
-
5
-
-
84971137948
-
Concepts of setwise dependence
-
Chhetry, D., Kimeldorf, G., and Sampson, A. R., "Concepts of setwise dependence," Probability in the Engineering and Information Sciences, 3, 367-380 (1989).
-
(1989)
Probability in the Engineering and Information Sciences
, vol.3
, pp. 367-380
-
-
Chhetry, D.1
Kimeldorf, G.2
Sampson, A.R.3
-
8
-
-
0006165227
-
Events which are almost independent
-
Dykstra, R.L., Hewett, J.E., and Thompson, W.A., "Events which are almost independent," Annals of Statistics, 1, 674-681 (1973).
-
(1973)
Annals of Statistics
, vol.1
, pp. 674-681
-
-
Dykstra, R.L.1
Hewett, J.E.2
Thompson, W.A.3
-
9
-
-
0000752572
-
Multivariate negative dependence
-
Ebrahimi, N., and Ghosh, M., "Multivariate negative dependence," Communications in Statistics, Series A, 10, 307-337 (1981).
-
(1981)
Communications in Statistics, Series A
, vol.10
, pp. 307-337
-
-
Ebrahimi, N.1
Ghosh, M.2
-
10
-
-
0001382704
-
Association of random variables with applications
-
Esary, J.D., Proschan, F., and Walkup, D., "Association of random variables with applications," Annals of Mathematical Statistics, 38, 1466-1474 (1967).
-
(1967)
Annals of Mathematical Statistics
, vol.38
, pp. 1466-1474
-
-
Esary, J.D.1
Proschan, F.2
Walkup, D.3
-
11
-
-
0003421261
-
-
3rd Edition, John Wiley and Sons, New York
-
Feller, W., An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd Edition, John Wiley and Sons, New York (1968).
-
(1968)
An Introduction to Probability Theory and Its Applications
, vol.1
-
-
Feller, W.1
-
12
-
-
0001304597
-
Bonferroni inequalities
-
Galambos, J., "Bonferroni inequalities," Annals of Probability, 5, 577-581 (1977).
-
(1977)
Annals of Probability
, vol.5
, pp. 577-581
-
-
Galambos, J.1
-
13
-
-
5244373607
-
A bound for the maximum of a number of random variables
-
Gallot, S., "A bound for the maximum of a number of random variables," Journal of Applied Probability, 3, 556-558 (1966).
-
(1966)
Journal of Applied Probability
, vol.3
, pp. 556-558
-
-
Gallot, S.1
-
14
-
-
0011633096
-
A comparison of Bonferroni-type and product-type inequalities in presence of dependence
-
(Eds. Block, H.W., Sampson, A.R., and Savits, T.H.), IMS Monograph Lecture Note Series, Hayward, CA
-
Glaz, J., "A comparison of Bonferroni-type and product-type inequalities in presence of dependence," Topics in Statistical Dependence. (Eds. Block, H.W., Sampson, A.R., and Savits, T.H.), pp 223-235, IMS Monograph Lecture Note Series, Hayward, CA (1990).
-
(1990)
Topics in Statistical Dependence
, pp. 223-235
-
-
Glaz, J.1
-
15
-
-
0010809191
-
Probability inequalities for multivariate distributions with dependence structures
-
Glaz, J., and Johnson, B., McK., "Probability inequalities for multivariate distributions with dependence structures," Journal of the American Statistical Association, 79, 436-441 (1984).
-
(1984)
Journal of the American Statistical Association
, vol.79
, pp. 436-441
-
-
Glaz, J.1
Johnson, B.McK.2
-
16
-
-
84972979551
-
Comparison of improved Bonferroni and Sidak/Slepian bounds with applications to normal Markov processes
-
Hoover, D.R., "Comparison of improved Bonferroni and Sidak/Slepian bounds with applications to normal Markov processes," Communications in Statistics, Series A 19, 1623-1637 (1990).
-
(1990)
Communications in Statistics, Series A
, vol.19
, pp. 1623-1637
-
-
Hoover, D.R.1
-
17
-
-
38249021132
-
Subset complement addition upper bounds - An improved inclusion-exclusion method
-
Hoover, D.R., "Subset complement addition upper bounds - An improved inclusion-exclusion method," The Journal of Statistical Planning and Inference, 12, 195-202 (1990).
-
(1990)
The Journal of Statistical Planning and Inference
, vol.12
, pp. 195-202
-
-
Hoover, D.R.1
-
19
-
-
0007676070
-
A Bonferroni-type identity and permutation bounds
-
Hoppe, F.M., and Seneta, E., "A Bonferroni-type identity and permutation bounds," International Statistical Review, 58, 253-262 (1990).
-
(1990)
International Statistical Review
, vol.58
, pp. 253-262
-
-
Hoppe, F.M.1
Seneta, E.2
-
20
-
-
0000850549
-
An upper bound for the probability of a union
-
Hunter, D., "An upper bound for the probability of a union," Journal of Applied Probability, 13, 597-603 (1976).
-
(1976)
Journal of Applied Probability
, vol.13
, pp. 597-603
-
-
Hunter, D.1
-
21
-
-
0010753151
-
Association and probability inequalities
-
Jogdeo, K., "Association and probability inequalities," Annals of Statistics, 5, 495-504 (1977).
-
(1977)
Annals of Statistics
, vol.5
, pp. 495-504
-
-
Jogdeo, K.1
-
22
-
-
0039766073
-
Classes of orderings of measures and related correlation inequalities-I: Multivariate totally positive distributions
-
Karlin, S., and Rinott, Y., "Classes of orderings of measures and related correlation inequalities-I: Multivariate totally positive distributions," Journal of Multivariate Analysis, 10, 476-498 (1980a).
-
(1980)
Journal of Multivariate Analysis
, vol.10
, pp. 476-498
-
-
Karlin, S.1
Rinott, Y.2
-
23
-
-
49149144788
-
Classes of orderings of measures and related correlation inequalities-II: Multivariate reverse rule distributions
-
Karlin, S., and Rinott, Y., "Classes of orderings of measures and related correlation inequalities-II: Multivariate reverse rule distributions," Journal of Multivariate Analysis, 10, 499-516 (1980b).
-
(1980)
Journal of Multivariate Analysis
, vol.10
, pp. 499-516
-
-
Karlin, S.1
Rinott, Y.2
-
24
-
-
0001623116
-
Total positivity properties of absolute value multinormal distributions with applications to confidence interval estimates and related probabilistic inequalities
-
Karlin, S., and Rinott, Y., "Total positivity properties of absolute value multinormal distributions with applications to confidence interval estimates and related probabilistic inequalities," Annals of Statistics, 9, 1035-1049 (1982).
-
(1982)
Annals of Statistics
, vol.9
, pp. 1035-1049
-
-
Karlin, S.1
Rinott, Y.2
-
26
-
-
0010861764
-
Bounds for the probability of a union, with applications
-
Kounias, E.G., "Bounds for the probability of a union, with applications," The Annals of Mathematical Statistics, 39, 2154-2158 (1968).
-
(1968)
The Annals of Mathematical Statistics
, vol.39
, pp. 2154-2158
-
-
Kounias, E.G.1
-
28
-
-
0001509312
-
Positively correlated random variables are associated
-
Pitt, L.D., "Positively correlated random variables are associated," Annals of Probability, 10, 496-499 (1982).
-
(1982)
Annals of Probability
, vol.10
, pp. 496-499
-
-
Pitt, L.D.1
-
29
-
-
0001586727
-
Bonferroni sometimes looses
-
Schwager, S.J., "Bonferroni sometimes looses," The American Statistician, 38, 192-197 (1984).
-
(1984)
The American Statistician
, vol.38
, pp. 192-197
-
-
Schwager, S.J.1
-
30
-
-
0002551925
-
Degree, iteration and permutation in improving Bonferroni-type bounds
-
Seneta, E., "Degree, iteration and permutation in improving Bonferroni-type bounds," Australian Journal of Statistics, 30A, 27-38 (1988).
-
(1988)
Australian Journal of Statistics
, vol.30 A
, pp. 27-38
-
-
Seneta, E.1
-
31
-
-
84947402121
-
Rectangular confidence regions for means of multivariate normal distributions
-
Sidak, Z., "Rectangular confidence regions for means of multivariate normal distributions," Journal of the American Statistical Association, 62, 626-633 (1967).
-
(1967)
Journal of the American Statistical Association
, vol.62
, pp. 626-633
-
-
Sidak, Z.1
-
32
-
-
0000586493
-
On multivariate normal probabilities of rectangles
-
Sidak, Z., "On multivariate normal probabilities of rectangles," Annals of Mathematical Statistics, 39, 1425-1434 (1968).
-
(1968)
Annals of Mathematical Statistics
, vol.39
, pp. 1425-1434
-
-
Sidak, Z.1
-
33
-
-
0005944812
-
On probabilities of rectangles in multivariate student distributions: Their dependence on correlations
-
Sidak, Z., "On probabilities of rectangles in multivariate student distributions: Their dependence on correlations," Annals of Mathematical Statistics, 42, 169-175 (1971).
-
(1971)
Annals of Mathematical Statistics
, vol.42
, pp. 169-175
-
-
Sidak, Z.1
-
34
-
-
5244302802
-
A chain of inequalities for some types of multivariate distributions, with nine special cases
-
Sidak, Z., "A chain of inequalities for some types of multivariate distributions, with nine special cases," Apl. Mat., 18, 110-118 (1973).
-
(1973)
Apl. Mat.
, vol.18
, pp. 110-118
-
-
Sidak, Z.1
-
35
-
-
84944485006
-
On one-sided barrier problem for Gaussian noise
-
Slepian, D., "On one-sided barrier problem for Gaussian noise," Bell System Technical Journal, 41, 463-501 (1962).
-
(1962)
Bell System Technical Journal
, vol.41
, pp. 463-501
-
-
Slepian, D.1
-
36
-
-
5244244813
-
The Hunter method of simultaneous inference and its recommended use for applications having large known correlation structure
-
Stoline, M.R., "The Hunter method of simultaneous inference and its recommended use for applications having large known correlation structure," Journal of the American Statistical Association, 78, 366-370 (1983).
-
(1983)
Journal of the American Statistical Association
, vol.78
, pp. 366-370
-
-
Stoline, M.R.1
-
37
-
-
0347011786
-
Some probability inequalities of multivariate normal and multivariate t
-
Tong, Y.L., "Some probability inequalities of multivariate normal and multivariate t," Journal of the American Statistical Association, 65, 1243-1247 (1970).
-
(1970)
Journal of the American Statistical Association
, vol.65
, pp. 1243-1247
-
-
Tong, Y.L.1
-
39
-
-
0011424623
-
On classical Bonferroni inequalities and the corresponding Galambos inequalities
-
Walker, A.M., "On classical Bonferroni inequalities and the corresponding Galambos inequalities," Journal of Applied Probability, 18, 757-763 (1981).
-
(1981)
Journal of Applied Probability
, vol.18
, pp. 757-763
-
-
Walker, A.M.1
-
40
-
-
0000368646
-
An improved Bonferroni inequality and applications
-
Worsley, K.J., "An improved Bonferroni inequality and applications," Biometrika, 69, 297-302 (1982).
-
(1982)
Biometrika
, vol.69
, pp. 297-302
-
-
Worsley, K.J.1
|