-
1
-
-
0001396151
-
On phase type distributions in survival analysis
-
Aalen, O. (1995). On phase type distributions in survival analysis. Scand. J. Statist. 22, 447-463.
-
(1995)
Scand. J. Statist.
, vol.22
, pp. 447-463
-
-
Aalen, O.1
-
2
-
-
0033144561
-
A parametric estimation procedure for relapse time distributions
-
Åhlström, L., Olsson, M. & Nerman, O. (1999). A parametric estimation procedure for relapse time distributions. Lifetime Data Analysis 5, 113-132.
-
(1999)
Lifetime Data Analysis
, vol.5
, pp. 113-132
-
-
Åhlström, L.1
Olsson, M.2
Nerman, O.3
-
4
-
-
0020191755
-
Stochastic theory of a data-handling system with multiple sources
-
Anick, D., Mitra, D. & Sondhi, M. M. (1982). Stochastic theory of a data-handling system with multiple sources. Bell System Tech. J. 61, 1871-1894.
-
(1982)
Bell System Tech. J.
, vol.61
, pp. 1871-1894
-
-
Anick, D.1
Mitra, D.2
Sondhi, M.M.3
-
6
-
-
0000638493
-
Phase-type representations in random walk and queueing problems
-
Asmussen, S. (1992). Phase-type representations in random walk and queueing problems. Ann. Probab. 20, 772-789.
-
(1992)
Ann. Probab.
, vol.20
, pp. 772-789
-
-
Asmussen, S.1
-
7
-
-
0002358559
-
Stationary distributions for fluid flow models with or without Brownian noise
-
Asmussen, S. (1995a). Stationary distributions for fluid flow models with or without Brownian noise. Comm. Statist. Stochastic Models 11, 21-49.
-
(1995)
Comm. Statist. Stochastic Models
, vol.11
, pp. 21-49
-
-
Asmussen, S.1
-
8
-
-
0001818908
-
Stationary distributions via first passage times
-
(ed. J. Dshalalow). CRC Press, Boca Raton, FA
-
Asmussen, S. (1995b). Stationary distributions via first passage times. In Advances in queueing: models, methods & problems (ed. J. Dshalalow), 79-102. CRC Press, Boca Raton, FA.
-
(1995)
Advances in Queueing: Models, Methods & Problems
, pp. 79-102
-
-
Asmussen, S.1
-
9
-
-
0000296689
-
Extreme value theory for queues via cycle maxima
-
Asmussen, S. (1998). Extreme value theory for queues via cycle maxima. Extremes 1, 137-168.
-
(1998)
Extremes
, vol.1
, pp. 137-168
-
-
Asmussen, S.1
-
10
-
-
0004147636
-
-
World Scientific Publishing, Singapore
-
Asmussen, S. (2000). Ruin probabilities. World Scientific Publishing, Singapore.
-
(2000)
Ruin Probabilities
-
-
Asmussen, S.1
-
11
-
-
0001338883
-
Renewal theory and queueing algorithms for matrix-exponential distributions
-
(eds. A. S. Alfa & S. Chakravarty). Marcel Dekker, New York
-
Asmussen, S. & Bladt, M. (1996). In Renewal theory and queueing algorithms for matrix-exponential distributions. Matrix-analytic methods in stochastic models (eds. A. S. Alfa & S. Chakravarty), 313-341. Marcel Dekker, New York.
-
(1996)
Matrix-analytic Methods in Stochastic Models
, pp. 313-341
-
-
Asmussen, S.1
Bladt, M.2
-
12
-
-
0034206151
-
A multidimensional martingale for Markov additive processes and its applications
-
to appear
-
Asmussen, S. & Kella, O. (2000). A multidimensional martingale for Markov additive processes and its applications. Adv. Appl. Probab. 32, (to appear).
-
(2000)
Adv. Appl. Probab.
, pp. 32
-
-
Asmussen, S.1
Kella, O.2
-
13
-
-
21144481911
-
Marked point processes as limits of Markovian arrival streams
-
Asmussen, S. & Koole, G. (1993). Marked point processes as limits of Markovian arrival streams. J. Appl. Probab. 30, 365-372.
-
(1993)
J. Appl. Probab.
, vol.30
, pp. 365-372
-
-
Asmussen, S.1
Koole, G.2
-
14
-
-
0001813254
-
Calculation of the steady state waiting time distribution in GI/PH/c and MAP/PH/c queues
-
to appear
-
Asmussen, S. & Møller, J. R. (2000). Calculation of the steady state waiting time distribution in GI/PH/c and MAP/PH/c queues. Queueing Systems (to appear).
-
(2000)
Queueing Systems
-
-
Asmussen, S.1
Møller, J.R.2
-
15
-
-
0001410766
-
Phase-type representations in matrix-geometric and matrix-exponential solutions with applications to many-server queues
-
Asmussen, S. & O'Cinneide, C. A. (1998). Phase-type representations in matrix-geometric and matrix-exponential solutions with applications to many-server queues. Comm. Statist. Stochastic Models 14, 369-387.
-
(1998)
Comm. Statist. Stochastic Models
, vol.14
, pp. 369-387
-
-
Asmussen, S.1
O'Cinneide, C.A.2
-
16
-
-
0012476574
-
Matrix-exponential distributions [distributions with a rational laplace transform]
-
(eds. S. Kotz, C. B. Read and D. L. Banks), Update Wiley, New York
-
Asmussen, S. & O'Cinneide, C. A. (1999). Matrix-exponential distributions [Distributions with a rational Laplace transform]. To appear in Encyclopedia of statistical sciences (eds. S. Kotz, C. B. Read and D. L. Banks), Update Volume 3. Wiley, New York.
-
(1999)
Encyclopedia of Statistical Sciences
, vol.3
-
-
Asmussen, S.1
O'Cinneide, C.A.2
-
17
-
-
0001930433
-
Phase-type distributions
-
(eds. S. Kotz, C. B. Read and D. L. Banks), Update Wiley, New York
-
Asmussen, S. & Olsson, M. (1998). Phase-type distributions. Encyclopedia of statistical sciences (eds. S. Kotz, C. B. Read and D. L. Banks), Update Volume 2, 525-530. Wiley, New York.
-
(1998)
Encyclopedia of Statistical Sciences
, vol.2
, pp. 525-530
-
-
Asmussen, S.1
Olsson, M.2
-
18
-
-
0001412090
-
Computational methods in risk theory: A matrix-algorithmic approach
-
Asmussen, S. & Rolski, T. (1991). Computational methods in risk theory: a matrix-algorithmic approach. Insurance Math. Econom. 10, 259-274.
-
(1991)
Insurance Math. Econom.
, vol.10
, pp. 259-274
-
-
Asmussen, S.1
Rolski, T.2
-
19
-
-
0030502888
-
Fitting phase-type distributions via the EM algorithm
-
Asmussen, S., Nerman, O. & Olsson, M. (1996). Fitting phase-type distributions via the EM algorithm. Scand. J. Statist. 23, 419-441.
-
(1996)
Scand. J. Statist.
, vol.23
, pp. 419-441
-
-
Asmussen, S.1
Nerman, O.2
Olsson, M.3
-
22
-
-
0003141975
-
A benchmark for PH fitting algorithms: Results for acyclic PH
-
Bobbio, A. & Telek, M. (1994). A benchmark for PH fitting algorithms: results for acyclic PH. Comm. Statist. Stochastic Models 10, 661-667.
-
(1994)
Comm. Statist. Stochastic Models
, vol.10
, pp. 661-667
-
-
Bobbio, A.1
Telek, M.2
-
23
-
-
0003275181
-
The phase concept: Approximations of measured data and performance analysis
-
(eds. K. M. Chandy & M. Reiser). North-Holland, Amsterdam
-
Bux, W. & Herzog, U. (1977). The phase concept: approximations of measured data and performance analysis. In Computer performance (eds. K. M. Chandy & M. Reiser), 23-38. North-Holland, Amsterdam.
-
(1977)
Computer Performance
, pp. 23-38
-
-
Bux, W.1
Herzog, U.2
-
26
-
-
84971173381
-
A use of complex probabilities in the theory of stochastic processes
-
Cox, D. R. (1955). A use of complex probabilities in the theory of stochastic processes. Math. Proc. Cambridge Phil. Soc. 51, 313-319.
-
(1955)
Math. Proc. Cambridge Phil. Soc.
, vol.51
, pp. 313-319
-
-
Cox, D.R.1
-
30
-
-
0001601643
-
Geometric distribution in some two-dimensional queueing systems
-
Evans, R. V. (1967). Geometric distribution in some two-dimensional queueing systems. Oper Res. 15, 830-846.
-
(1967)
Oper Res.
, vol.15
, pp. 830-846
-
-
Evans, R.V.1
-
31
-
-
84982416693
-
Compartmental models with phase-type residence-time distributions
-
Faddy, M. J. (1990). Compartmental models with phase-type residence-time distributions. Appl. Stochast. Models Data Analy. 6, 121-127.
-
(1990)
Appl. Stochast. Models Data Analy.
, vol.6
, pp. 121-127
-
-
Faddy, M.J.1
-
32
-
-
0001708570
-
On inferring the number of phases in a Coxian phase-type distribution
-
Faddy, M. J. (1997). On inferring the number of phases in a Coxian phase-type distribution. Comm. Statist. Stochastic Models 14, 407-417.
-
(1997)
Comm. Statist. Stochastic Models
, vol.14
, pp. 407-417
-
-
Faddy, M.J.1
-
34
-
-
84979316496
-
Ein approximationssatz für verteilungen stationärer zufälliger punktfolgen
-
Herrmann, U. (1965). Ein Approximationssatz für Verteilungen stationärer zufälliger Punktfolgen. Math. Nachri. 30, 377-381.
-
(1965)
Math. Nachri.
, vol.30
, pp. 377-381
-
-
Herrmann, U.1
-
35
-
-
0001707776
-
EMPHT - A program for fitting phase-type distributions
-
Mathematical Statistics, Chalmers University of Technology and the University of Göteborg
-
Häggström, O., Asmussen, S. & Nerman, O. (1992). EMPHT - a program for fitting phase-type distributions. Studies in statistical quality control and reliability Vol. 4. Mathematical Statistics, Chalmers University of Technology and the University of Göteborg.
-
(1992)
Studies in Statistical Quality Control and Reliability
, vol.4
-
-
Häggström, O.1
Asmussen, S.2
Nerman, O.3
-
37
-
-
0001607009
-
Matching moments to phase distributions
-
Johnson, M. & Taaffe, M. (1989/90). Matching moments to phase distributions. Comm. Statist. Stochastic Models 5, 711-743; 6, 259-281; 6, 283-306.
-
(1989)
Comm. Statist. Stochastic Models
, vol.5
, pp. 711-743
-
-
Johnson, M.1
Taaffe, M.2
-
38
-
-
0001607009
-
-
Johnson, M. & Taaffe, M. (1989/90). Matching moments to phase distributions. Comm. Statist. Stochastic Models 5, 711-743; 6, 259-281; 6, 283-306.
-
Comm. Statist. Stochastic Models
, vol.6
, pp. 259-281
-
-
-
39
-
-
0001607009
-
-
Johnson, M. & Taaffe, M. (1989/90). Matching moments to phase distributions. Comm. Statist. Stochastic Models 5, 711-743; 6, 259-281; 6, 283-306.
-
Comm. Statist. Stochastic Models
, vol.6
, pp. 283-306
-
-
-
40
-
-
0023962479
-
Computing the phase-type renewal and related functions
-
Kao, E. P. C. (1988). Computing the phase-type renewal and related functions. Technometrics 30, 87-93.
-
(1988)
Technometrics
, vol.30
, pp. 87-93
-
-
Kao, E.P.C.1
-
41
-
-
0000475611
-
Useful martingales for stochastic storage processes with Lévy input
-
Kella, O. & Whitt, W. (1992). Useful martingales for stochastic storage processes with Lévy input. J. Appl. Probab. 29, 396-403.
-
(1992)
J. Appl. Probab.
, vol.29
, pp. 396-403
-
-
Kella, O.1
Whitt, W.2
-
43
-
-
84949755090
-
New results of the single server queue with a batch Markovian arrival process
-
Lucantoni, D. (1991). New results of the single server queue with a batch Markovian arrival process. Comm. Statist. Stochastic Models 7, 1-46.
-
(1991)
Comm. Statist. Stochastic Models
, vol.7
, pp. 1-46
-
-
Lucantoni, D.1
-
44
-
-
0023366201
-
A fitting algorithm for Markov-modulated Poisson processes having two arrival rates
-
Meier, K. S. (1984). A fitting algorithm for Markov-modulated Poisson processes having two arrival rates. European J. Oper. Res. 29, 370-377.
-
(1984)
European J. Oper. Res.
, vol.29
, pp. 370-377
-
-
Meier, K.S.1
-
45
-
-
0001143041
-
Nineteen dubious ways to compute the exponential of a matrix
-
Moler, C. & van Loan, C. (1978). Nineteen dubious ways to compute the exponential of a matrix. SIAM Rev. 20, 801-836.
-
(1978)
SIAM Rev.
, vol.20
, pp. 801-836
-
-
Moler, C.1
Van Loan, C.2
-
46
-
-
0001163823
-
The first two moment matrices of the counts for the Markovian arrival process
-
Narayana, S. & Neuts, M. F. (1992). The first two moment matrices of the counts for the Markovian arrival process. Comm. Statist. Stochastic Models 8, 459-477.
-
(1992)
Comm. Statist. Stochastic Models
, vol.8
, pp. 459-477
-
-
Narayana, S.1
Neuts, M.F.2
-
47
-
-
0002542412
-
Probability distributions of phase type
-
Department of Mathematics, University of Louvain, Belgium
-
Neuts, M. F. (1975). Probability distributions of phase type. In Liber amicorum Prof. emer. H. Florin, 173-206. Department of Mathematics, University of Louvain, Belgium.
-
(1975)
Liber Amicorum Prof. Emer. H. Florin
, pp. 173-206
-
-
Neuts, M.F.1
-
48
-
-
0018008283
-
Renewal processes of phase type
-
Neuts, M. F. (1978). Renewal processes of phase type. Naval Res. Logist. 25, 445-454.
-
(1978)
Naval Res. Logist.
, vol.25
, pp. 445-454
-
-
Neuts, M.F.1
-
49
-
-
0018752321
-
A versatile Markovian point process
-
Neuts, M. F. (1979). A versatile Markovian point process. J. Appl. Probab. 16, 764-779.
-
(1979)
J. Appl. Probab.
, vol.16
, pp. 764-779
-
-
Neuts, M.F.1
-
52
-
-
0001784286
-
Characterization of phase-type distributions
-
O'Cinneide, C. A. (1990). Characterization of phase-type distributions. Comm. Statist. Stochastic Models 6, 1-57.
-
(1990)
Comm. Statist. Stochastic Models
, vol.6
, pp. 1-57
-
-
O'Cinneide, C.A.1
-
54
-
-
0030524223
-
Estimation of phase-type distributions from censored data
-
Olsson, M. (1996). Estimation of phase-type distributions from censored data. Scand. J. Statist. 23, 443-460.
-
(1996)
Scand. J. Statist.
, vol.23
, pp. 443-460
-
-
Olsson, M.1
-
55
-
-
0001783783
-
-
Private communication
-
Olsson, M. (1998). Private communication.
-
(1998)
-
-
Olsson, M.1
-
57
-
-
0004161838
-
-
Cambridge University Press, Cambridge
-
Press, W. H., Flannery, B. P., Teukolsky, S. A. & Vetterling, W. T. (1989). Numerical recipes. Cambridge University Press, Cambridge.
-
(1989)
Numerical Recipes
-
-
Press, W.H.1
Flannery, B.P.2
Teukolsky, S.A.3
Vetterling, W.T.4
-
58
-
-
0031512270
-
Heavy tail modelling and teletraffic data
-
Resnick, S. (1997). Heavy tail modelling and teletraffic data. Ann. Statist. 25, 1805-1869.
-
(1997)
Ann. Statist.
, vol.25
, pp. 1805-1869
-
-
Resnick, S.1
-
59
-
-
0000860220
-
Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains
-
Rogers, L. C. G. (1994). Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains. Ann. Appl. Probab. 4, 390-413.
-
(1994)
Ann. Appl. Probab.
, vol.4
, pp. 390-413
-
-
Rogers, L.C.G.1
-
60
-
-
0001831211
-
Point processes generated by transitions of a Markov chain
-
Rudemo, M. (1973). Point processes generated by transitions of a Markov chain. Adv. Appl. Probab. 5, 262-286.
-
(1973)
Adv. Appl. Probab.
, vol.5
, pp. 262-286
-
-
Rudemo, M.1
-
61
-
-
0001455583
-
Parameter estimation for Markov modulated poisson processes
-
Rydén, T. (1994). Parameter estimation for Markov modulated Poisson processes. Comm. Statist. Stochastic Models 10, 795-829.
-
(1994)
Comm. Statist. Stochastic Models
, vol.10
, pp. 795-829
-
-
Rydén, T.1
-
62
-
-
0029730756
-
An EM algorithm for estimation in Markov-modulated Poisson processes
-
Rydén, T. (1996). An EM algorithm for estimation in Markov-modulated Poisson processes. Comput. Statist. Data Anal. 21, 431-447.
-
(1996)
Comput. Statist. Data Anal.
, vol.21
, pp. 431-447
-
-
Rydén, T.1
-
63
-
-
0039492246
-
MEDA: Mixed Erlang distributions as phase-type representations of empirical distribution functions
-
Schmickler, L. (1992). MEDA: mixed Erlang distributions as phase-type representations of empirical distribution functions. Comm. Statist. Stochastic Models 6, 131-156.
-
(1992)
Comm. Statist. Stochastic Models
, vol.6
, pp. 131-156
-
-
Schmickler, L.1
-
64
-
-
0000247491
-
Markov processes whose steady-state distribution is matrix-geometric with an application to the GI/PH/1 queue
-
Sengupta, B. (1989). Markov processes whose steady-state distribution is matrix-geometric with an application to the GI/PH/1 queue. Adv. Appl. Probab. 21, 159-180.
-
(1989)
Adv. Appl. Probab.
, vol.21
, pp. 159-180
-
-
Sengupta, B.1
-
65
-
-
51649190585
-
The variance function of the Erlang process
-
Serfling, R. J. (1971). The variance function of the Erlang process. Ann. Inst. Statist. Math. 23, 327-337.
-
(1971)
Ann. Inst. Statist. Math.
, vol.23
, pp. 327-337
-
-
Serfling, R.J.1
-
66
-
-
0001896899
-
Phase type distributions
-
(eds Kotz, Johnson, Read). Wiley, New York
-
Shaked, M. & Shantikumar, J. G. (1985). Phase type distributions. In Encyclopedia of statistical sciences (eds Kotz, Johnson, Read) 6, 709-715. Wiley, New York.
-
(1985)
Encyclopedia of Statistical Sciences
, vol.6
, pp. 709-715
-
-
Shaked, M.1
Shantikumar, J.G.2
-
69
-
-
0032010619
-
EXPOKIT software for computing matrix exponentials
-
Sidje, R. B. (1998). EXPOKIT software for computing matrix exponentials. ACM Trans. Math. Software.
-
(1998)
ACM Trans. Math. Software
-
-
Sidje, R.B.1
|