In this paper, we consider the problem of estimating stress-strength reliability for inverse Weibull lifetime models having the same shape parameters but different scale parameters. We obtain the maximum likelihood estimator and its asymptotic distribution. Since the classical estimator doesn’t hold explicit forms, we propose an approximate maximum likelihood estimator. The asymptotic confidenc...

This article considers the problem of testing and interval estimation of the reliability parameter P (Y1 > Y2), where Y1 and Y2 are independent normal random variables with unknown means and variances. A new approximate method is proposed, and is compared with two existing approximate methods and a generalized variable method. Simulation studies indicate that the sizes of the existing approxima...

Macroscopic superplastic behaviour of metallic or non metallic materials is usually represented by the strain rate sensitivity, and it can be determined by tensile tests at elevated temperature. However, a uniaixal stress state occurs in the test whilst a multiaixal stress state is induced in actual superplastic forming processes. The difference of the stress state might affect the reliability ...

Dean of the Graduate College ii ACKNOWLEDGEMENTS I would like to express my appreciation towards my Master's Adviser, Dr. Kenneth E. Case for his guidance through the entire research. I would like to thank him for the great amount of patience that he showed right through the years that I worked under him. He has been a source inspiration to me over this time and I believe that he has played an ...

In this article we propose inferential procedures for a gamma distribution using the Wilson–Hilferty (WH) normal approximation. Specifically, using the result that the cube root of a gamma random variable is approximately normally distributed, we propose normal-based approaches for a gamma distribution for (a) constructing prediction limits, one-sided tolerance limits, and tolerance intervals; ...

BACKGROUND Patients undergoing total knee arthroplasty (TKA) often experience strength deficits both pre- and post-operatively. As these deficits may have a direct impact on functional recovery, strength assessment should be performed in this patient population. For these assessments, reliable measurements should be used. This study aimed to determine the inter- and intrarater reliability of ha...

Composite materials are popular in aerospace engineering because of their light weight, high strength to weight ratio, stiffness to weight ratio and tailoring properties. However, the modeling of composites is still a challenging task because of its highly uncertain material properties which arise from the manufacturing process.The effect of material uncertainties in failure strength and reliab...

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In this research, residual strength and stress concentration factor of laminated composites with a circular open hole are studied analytically, numerically and experimentally. The numerical study was carried out using the finite element method. Moreover an analytical study was carried out with developing of point stress criterion. Mechanical testing was performed to determine the un-notched ten...

In this paper, we estimate the reliability of series system with k components. We assume the strengths of these k components are subjected to a common stress which is independent of the strengths of the k components. If (X1, ..., Xk) are strengths of k components subjected to a common stress Xk+1, then the reliability of the series system or system reliability (R) is given by R = P [Xk+1 < Min(...