scholarly journals On stochastic inequalities and comparisons of reliability measures for weighted distributions

2002 ◽  
Vol 8 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Broderick O. Oluyede ◽  
E. Olusegun George
Keyword(s):  
Reliability Measures ◽  
Stochastic Orderings ◽  
Weighted Distributions ◽  
Equilibrium Distributions ◽  
Stability Results ◽  
Ageing Notions

Inequalities, relations and stochastic orderings, as well as useful ageing notions for weighted distributions are established. Also presented are preservation and stability results and comparisons for weighted and length-biased distributions. Relations for length-biased and equilibrium distributions as examples of weighted distributions are also presented.

Characterizations through reliability measures from weighted distributions

2001 ◽  
Vol 42 (3) ◽  
pp. 395-402 ◽  
Author(s):  
J. Navarro ◽  
Y. del Aguila ◽  
J. M. Ruiz
Keyword(s):  
Reliability Measures ◽  
Weighted Distributions

Relations for reliability measures of weighted distributions

1989 ◽  
Vol 18 (12) ◽  
pp. 4393-4412 ◽  
Author(s):  
Kanchan Jain ◽  
Harshinder Singh ◽  
Isha Bagai
Keyword(s):  
Reliability Measures ◽  
Weighted Distributions

scholarly journals On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications

2018 ◽  
Vol 33 (1) ◽  
pp. 45-60 ◽  
Author(s):  
Fiaz Ahmad Bhatti ◽  
G. G. Hamedani ◽  
Wenhui Sheng ◽  
Munir Ahmad
Keyword(s):  
Maximum Likelihood ◽  
Hazard Rate ◽  
Goodness Of Fit ◽  
Maximum Likelihood Method ◽  
Rate Function ◽  
Likelihood Method ◽  
Mixture Distributions ◽  
Hazard Rate Function ◽  
Reliability Measures ◽  
Stochastic Orderings

Abstract In this paper, we propose a flexible extended quadratic hazard rate (EQHR) distribution with increasing, decreasing, bathtub and upside-down bathtub hazard rate function. The EQHR density is arc, right-skewed and symmetrical shaped. This distribution is also obtained from compounding mixture distributions. Stochastic orderings, descriptive measures on the basis of quantiles, order statistics and reliability measures are theoretically established. Characterizations of the EQHR distribution are studied via different techniques. Parameters of the EQHR distribution are estimated using the maximum likelihood method. Goodness of fit of this distribution through different methods is studied.

Epitaxial Growth in Dislocation-Free Strained Alloy Films

2002 ◽  
Vol 715 ◽  
Author(s):  
Zhi-Feng Huang ◽  
Rashmi C. Desai
Keyword(s):  
Deposition Rate ◽  
Elastic Moduli ◽  
Composition Dependence ◽  
Critical Thickness ◽  
Lattice Misfit ◽  
Misfit Strain ◽  
Joint Stability ◽  
Alloy Films ◽  
The Stability ◽  
Stability Results

AbstractThe morphological and compositional instabilities in the heteroepitaxial strained alloy films have attracted intense interest from both experimentalists and theorists. To understand the mechanisms and properties for the generation of instabilities, we have developed a nonequilibrium, continuum model for the dislocation-free and coherent film systems. The early evolution processes of surface pro.les for both growing and postdeposition (non-growing) thin alloy films are studied through a linear stability analysis. We consider the coupling between top surface of the film and the underlying bulk, as well as the combination and interplay of different elastic effects. These e.ects are caused by filmsubstrate lattice misfit, composition dependence of film lattice constant (compositional stress), and composition dependence of both Young's and shear elastic moduli. The interplay of these factors as well as the growth temperature and deposition rate leads to rich and complicated stability results. For both the growing.lm and non-growing alloy free surface, we determine the stability conditions and diagrams for the system. These show the joint stability or instability for film morphology and compositional pro.les, as well as the asymmetry between tensile and compressive layers. The kinetic critical thickness for the onset of instability during.lm growth is also calculated, and its scaling behavior with respect to misfit strain and deposition rate determined. Our results have implications for real alloy growth systems such as SiGe and InGaAs, which agree with qualitative trends seen in recent experimental observations.

Stability results for optimal systems

1969 ◽  
Vol 5 (22) ◽  
pp. 545 ◽  
Author(s):  
B.D.O. Anderson
Keyword(s):  
Stability Results
Sign in / Sign up

Export Citation Format

Share Document