2010

LIST OF PUBLICATIONS – Bent Natvig

 

The papers are written by Bent Natvig alone if nothing else is stated.

 

Queueing theory

 

1. On the transient state probabilities for a queueing model where potential customers are discouraged by queue length.

  J. Appl. Prob. 11 (1974), 345-354.

 

2. On a queueing model where potential customers are discouraged by queue length.

Scand. J. Statist. 2 (1975), 34-42.

 

3. On the input and output processes for a general birth- and-death queueing model. Adv. Appl. Prob. 7 (1975), 576-592.

 

4. On the waiting-time and busy period distributions for a general birth- and-death queueing model.

J. Appl. Prob. 12 (1975), 524-532.

 

5. On the reversibility of the input and output processes for a general birth- and-death queueing model.

J. Appl. Prob. 14 (1977), 876-883.

 

6. On the transient waiting times for a GI/M/1 priority queue.

J. Appl. Prob. 17 (1980), 227-234. (With G. Dalen).

      

7. Priority queue. In Encyclopedia of Statistical Sciences, Vol. 7 (1986), 196-198.

 

Reliability theory

 

8. A suggestion of a new measure of importance of system components.

Stoch. Proc. Appl. 9 (1979), 319-330.

 

9.  Improved bounds for the availability and unavailability in a fixed time interval for systems of maintained, interdependent components.

Adv. Appl. Prob. 12 (1980), 200-221.

 

10. Two suggestions of how to define a multistate coherent system.

Adv. Appl. Prob. 14 (1982), 434-455.

 

11. On the reduction in remaining system lifetime due to the failure of a specific

component.

J. Appl. Prob. 19 (1982), 642-652.

 

12. The steady-state behaviour of multistate monotone systems.

J. Appl. Prob. 21 (1984), 826-835. (With A. Streller).

 

 

 

 

13. Multistate coherent systems. In Encyclopedia of Statistical Sciences, Vol. 5

(1985), 732-735.

 

14. Recent developments in multistate reliability theory. In Probabilistic Methods in the Mechanics of Solids and Structures. IUTAM Symposium, Stockholm 1984.

Springer-Verlag, Berlin 1985, 385-393.

 

15. The association in time of a Markov process with application to multistate reliability theory.

J. Appl. Prob. 22 (1985), 473-479. (With N.L. Hjort and E. Funnemark).

 

16. Bounds for the availabilities in a fixed time interval for multistate monotone

systems.

Adv. Appl. Prob. 17 (1985), 638-655. (With E. Funnemark).

 

17. New light on measures of importance of system components.

Scand. J. Statist. 12 (1985), 43-54.

 

18. Invited contribution to the discussion of the paper: Bergman, B. (1985). On reliability theory and its applications.

Scand. J. Statist. 12 (1985), 33-37.

 

19. Improved upper bounds for the availabilities in a fixed time interval for multistate monotone systems.

Adv. Appl. Prob. 18 (1986), 577-579.

 

20. Multistate reliability theory - a case study.

Adv. Appl. Prob. 18 (1986), 921-932. (With S. Sørmo, A.T. Holen, G.

Høgåsen).

 

21. Bayesian estimation of system reliability.

Scand. J. Statist. 14 (1987), 319-327. (With H. Eide).

 

22. Reliability: Importance of components. In Encyclopedia of Statistical Sciences, Vol. 8 (1988), 17-20.

 

23.  A comment on the steady-state performance of multistate monotone systems.

Adv. Appl. Prob. 21 (1989), 237.

 

24.  On information-based minimal repair and the reduction in remaining system lifetime due to the failure of a specific module.

J. Appl. Prob. 27 (1990), 365-375.

 

25. Bayesian methods and expert opinions applied to system reliability estimation and management. In Operational Reliability and Systematic Maintenance. Elsevier, London 1991, 107-128. (With A.B. Huseby).

 

26. Using expert opinions in Bayesian estimation of system reliability. In Reliability and Decision Making. Elsevier, London 1993, 347-362.

 

27. Strict and exact bounds for the availabilities in a fixed time interval for multistate monotone systems.

Scand. J. Statist. 20 (1993), 171-175.

 

28. Using expert opinions in Bayesian prediction of component lifetimes in a shock

     model.

Math. Oper. Res. 20 (1995), 227-242. (With J. Gåsemyr).

 

29. Some aspects of reliability analysis in shock models.

Scand. J. Statist. 22 (1995), 385-393. (With J. Gåsemyr).

 

30. On probabilistic risk analysis of technological systems.

Radiation Protection Dosimetry 68 (1996), 185-190. (With J. Gåsemyr).

 

31. An application of the MTP₂ property on bounds on system reliability.

Naval Research Logistics 44 (1997), 741-755. (With J. Gåsemyr).

 

32. The posterior distribution of the parameters of component lifetimes based on

autopsy data in a shock model.

Scand. J. Statist. 25 (1998), 271-292. (With J. Gåsemyr).

 

33. A comparison of two sequential Metropolis-Hastings algorithms with standard simulation techniques in Bayesian inference in reliability models involving the generalized gamma distribution.

Methodology and Computing in Applied Probability 3 (2001), 51-73.

(With J. Gåsemyr and E. Sørensen).

 

34. Bayesian inference based on partial monitoring of components with

applications to preventive system maintenance.

Naval Research Logistics 48 (2001), 1-27. (With J. Gåsemyr).

 

35. An application of multistate reliability theory to an offshore gas pipeline

network.

International Journal of Reliability, Quality and Safety Engineering. 10

(2003), 361-381. (With H.W.H.Mørch).

 

36. Reliability analysis. Encyclopedia of Actuarial Science. Wiley (2004), 1422-

1426.

 

37. Probabilistic modelling of monitoring and maintenance of multistate monotone

systems with dependent components. Methodology and Computing in Applied

Probability 7 (2005), 63-78. (With J. Gåsemyr).

38. Multistate reliability theory. Encyclopedia of Statistics in Quality and

Reliability. Wiley (2007), 1160-1164.

 

39. Advanced discrete event simulation methods with application to importance

measure estimation. In Safety, Reliability and Risk Analysis: Theory, Methods

and Applications. CRC Press (2008), 1747-1753. (With A. B. Huseby,

K. A. Eide, S. Isaksen and J. Gåsemyr).

 

40. New results on the Barlow-Proschan and Natvig measures of component

importance in nonrepairable and repairable systems.

Methodology and Computing in Applied Probability. 11 (2009), 603-620. (With

J. Gåsemyr).

 

41. Simulation based analysis and an application to an offshore oil and gas production system of the

Natvig measures of component importance in repairable systems.

Reliability Engineering & System Safety, 94 (2009), 1629-1638. (With A. B.

Huseby, K. A. Eide, S. Isaksen and J. Gåsemyr).

 

42. Advanced discrete simulation methods applied to repairable multistate systems.

In Reliability, Risk and Safety. Theory and Applications. CRC Press 2009, 659-

666. (With A. B. Huseby).

 

43. Measures of component importance in nonrepairable and repairable multistate strongly

coherent systems. Submitted

Dentistry

 

44. Comparative study of two evaluation methods on radiographic bone loss at the mandibular canines and incisors.

Scand. J. Dent. Res. 90 (1982), 459-467. (With S. Eggen).

 

45. Relationship between torus mandibularis and number of present teeth.

Scand. J. Dent. Res. 94 (1986), 233-240. (With S. Eggen).

 

46. Variation in torus mandibularis prevalence in Norway. A statistical analysis using

logistic regression.

Community Dent. Oral. Epidemiol. 19 (1991), 32-35. (With S. Eggen).

 

47. Variation in torus palatinus prevalence in Norway.

Scand. J. Dent. Res. 102 (1994), 54-59. (With S. Eggen and J. Gåsemyr).

 

48. Concurrence of torus mandibularis and torus palatinus.

Scand. J. Dent. Res. 102 (1994), 60-63. (With S. Eggen).

 

Medicine

 

49. A Bayesian analysis of bisphosphonate effects and cost-effectiveness in

post-meno­pausal osteoporosis.

Pharmacoepidemiology & Drug Safety 9 (2000), 501-509. (With I. Aursnes,

G. Storvik, J. Gåsemyr).

 

50. The Bayesian approach on its way into statistics in medicine? Tidsskr Nor Lægeforen

(2002), 1369-1372. (With I. Aursnes and I.F.Tvete).

 

51. Clinical efficacies of antihypertensive drugs. Scand. Cardiovasc. J. 37 (2003),72-79.

(With I. Aursnes, I. F. Tvete and J. Gåsemyr).

 

 

52. Suicide attempts in clinical trials with paroxetine randomised against placebo. BMC Medicine

(2005) 3:14. (With I. Aursnes, I. F. Tvete and J. Gåsemyr).

 

53. Even more suicide attempts in clinical trials with paroxetine randomised against placebo. BMC

Psychiatry (2006) 6:55. (With I. Aursnes, I. F. Tvete and J. Gåsemyr).

 

54. Aursnes and Natvig answer the comment by Kraus. BMC

Psychiatry (2007) 6:55. (With I. Aursnes).

 

55. Does atenolol differ from other beta adrenergic blockers? BMC Clinical Pharmocology (2007)

7:4. (With I. Aursnes, J.-B. Osnes, I. F. Tvete and J. Gåsemyr).

Various topics

 

56.  A contribution to the discussion of the paper: Hoem, J.M. (1976). The statistical theory of demographic rates. A review of current developments.

Scand. J. Statist. 3 (1976),181-182.

 

57. Possibility versus probability.

Fuzzy Sets and Systems 10 (1983), 31-36.

 

58. Nuclear disarmament and accidental nuclear war.

Bulletin of Peace Proposals 20 (1989), 219-223.

 

59. Invited contribution to the discussion of the paper: Arjas, E. (1989). Survival models and martingale dynamics.

Scand. J. Statist. 16 (1989), 217-220.

 

60. Bayesians in the night.

Chance 4 (1991), 45. (With M.H. DeGroot).

 

61. Accidental nuclear war considered from the area of reliability of large technological systems. In Inadvertent Nuclear War. Pergamon Press, London 1993, 55-67.

 

62. Hva slags forskningsmetodikk bør styre forskningen – fra hypotesetestingsteori til Bayesiansk beslutningsteori? Om føre-var prinsippet, risikoaversjon og etikk.

Etikk i Universitetssamfunnet. Innsatsområdet etikk skriftserie, 1998, 13-27.

 

63. Modelling spatial and temporal dependencies between earthquakes. Proceedings of the Geostats 2000 Conference. (With L. Holden, S. Sannan, P. Abra­hamsen and H. Bungum).

 

64. A comparison of an analytical approach and a standard simulation approach in

Bayesian forecasting applied to monthly data from insurance of companies.

Methodology and Computing in Applied Probability 4 (2002), 95-113. (With I.F.

Tvete).

 

 

 

65. An application of adaptive independent chain Metropolis-Hastings algorithms in Bayesian

hazard rate estimation. Methodology and Computing in Applied Probability 6 (2004), 293-

302. (With J. Gåsemyr and C.S. Nygård).

 

66. Environmental risk and the precautionary principle: "Late lessons from early warnings" applied

to genetically modified plants. J. Risk Research (2006) 9, 205-224. (With I. Aslaksen and I.

Nordal).

 

67. Bayesian hierarchical space-time modelling of earthquake data. Methodology and Computing

in Applied Probability 9 (2007), 89-114. (With I. F. Tvete).

 

68. A robust conflict measure of inconsistencies in Bayesian hierarchical models.

Scand. J. Statist. 34 (2007), 816-828. (With F.A. Dahl and J. Gåsemyr).

 

69. Extensions of a conflict measure of inconsistencies in Bayesian hierarchical models.

Scand. J. Statist. 36 (2009), 822-838. (With J. Gåsemyr).

 

70. Modelling egg densities by a zero-inflated Bayesian hierarchical space-time model. ( With I.F.

Tvete, G. Storvik, L. Ciannelli). Submitted.