|
[1]. Alam, S.N. and Roohi. On Augmenting Exponential Strength-Reliability. IAPQR Transactions, 2002; 27: 111-117.
|
|
[2]. Banerjee, A. K. and G. K. Bhattacharyya. Bayesian results for the inverse Gaussian distribution with an application. Technometrics, 1979; 21(2): 247-251.
|
|
[3]. Basu, A. P. and N Ebrahimi. On the reliability of stochastic systems. Statistics & Probability Letters, 1983; 1(5): 265-267.
|
|
[4]. Basu, S. and R. T. Lingham. Bayesian estimation of system reliability in Brownian stress-strength models. Annals of the Institute of Statistical Mathematics, 2003; 55(1): 7-19.
|
|
[5]. Berger, J.O. Statistical Decision Theory and Bayesian Analysis. Springer-Verlag: NY; 1985.
|
|
[6]. Brooks, S. Markov chain Monte Carlo method and its application. Journal of the royal statistical society: series D (the Statistician). 1998; 47(1): 69-100.
|
|
[7]. Chandra, N. and S. Sen. Augmented Strength Reliability of Equipment under Gamma Distribution. J of Statist. Theory and Applications. 2014; 13: 212-221.
|
|
[8]. Chandra, N. and V.K Rathaur. Augmented Strategy Plans for Enhancing Strength Reliability of an Equipment under Inverse Gaussian Distribution. J. Math. Engg. Sci. Aerospace: Special Issue on Reliability and Dependability Modeling Analysis for Complex Systems. 2015(a); 6: 233-243.
|
|
[9]. Chandra, N. and V.K Rathaur. Augmenting Exponential Stress-Strength Reliability for a coherent system. Proceedings of National Seminar on Statistical Methods and Data Analysis, published by Abhiruchi Prakashana, Mysore. 2015(b):25-34.
|
|
[10]. Chandra, N. and V.K Rathaur. Augmented Gamma Strength Reliability Models for Series and Parallel Coherent System. Proceedings of National Conference on Emerging Trends in Statistical Research: Issue and Challenges, Narosa Publication, New Delhi, India, 2015(c):43-54.
|
|
[11]. Chhikara, R.S. and J.L. Folks. Estimation of the Inverse Gaussian distribution function. J. Amer. Statis. Assoc. 1974; 69: 250-254.
|
|
[12]. Chhikara, R.S. and J.L. Folks. Statistical distributions related to the inverse Gaussian. Communications in Statistics. 1975; 4: 1081-1091.
|
|
[13]. Chhikara, R.S. and J.L. Optimum test procedures for the mean of first passage time distributions in Brownian motion with positive drift. Technometrics. 1976; 18:189-193.
|
|
[14]. Chhikara, R.S. and J.L. The Inverse Gaussian distribution as a Lifetime Model. Technometrics. 1977; 19(4): 461-468.
|
|
[15]. Ebrahimi, N. and T. Ramallingam. Estimation of system reliability in Brownian stress-strength models based on sample paths. Annals of the Institute of Statistical Mathematics. 1993; 45(1): 9-19.
|
|
[16]. Efron, B. Logistic regression, survival analysis and the Kaplan-meier curve. J. Ame. Stat. Asso. 1988; 83: 414-425.
|
|
[17]. Hastings, W.K. Monte Carlo sampling methods using Markov chains and their applications. Biometrika. 1970; 57(1): 97-109.
|
|
[18]. Jeffreys, H. The Theory of Probability. 3rd ed, Oxford University Press, New York, NY.(1998).
|
|
[19]. Johnson, N. L., S. Kotz and N Balakrishnan. Continuous univariate distributions. (2nd ed.), vol.1 John Wiley & Sons. New York, 163: 1994.
|
|
[20]. Makkar, P., P.K. Srivastava, R.S. Singh and S.K. Upadhyay. Bayesian survival analysis of head and neck cancer data using lognormal model. Communications in Statistics-Theory and Methods. 2014; 43: 392-407.
|
|
[21]. Nadas, A. Best tests for zero drift based on first passage times in Brownian motion. Technometrics. 1973; 15: 125-132.
|
|
[22]. Padgett, W. J. and L.J. Wei. Estimation for the three-parameter inverse Gaussian distribution. Communications in statistics-theory and methods. 1979; 8(2): 129-137.
|
|
[23]. Pandey, B.N. and P. Bandyopadhyay. Bayesian Estimation of Inverse Gaussian Distribution. Int. J. Agricult. Stat. Sci. 2013; 9(2): 373-386.
|
|
[24]. Sarhan, A.M., B. Smith and D.C. Hamilton. Estimation of P(Y <X) for a Two-parameter Bathtub Shaped Failure Rate Distribution. Int. J. of Statist. Prob. 2015; 4: 33-45.
|
|
[25]. Sharma,V.K., S.K. Singh, U. Singh and V. Agiwal. The inverse Lindley distribution: a stress-strength reliability model with application to head and neck cancer data. J. of Indust. and Product. Engg. 2015; 32: 162–173.
|
|
[26]. Sherif, Y.S. and M. L. Smith. First-passage time distribution of Brownian motion as a reliability model. IEEE Transactions. 1980; 29(5): 425-426.
|
|
[27]. Tweedie, M. C. K. Statistical Properties of Inverse Gaussian distribution I, Annals of Mathematics & Statistics. 1957(a); 28: 362-77.
|
|
[28]. Tweedie, M. C. K. Statistical properties of inverse Gaussian distributions II. Annals of Mathematical Statistics. 1957(b); 28(3): 696-705.
|