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Extremal Properties and Tail Asymptotic of Alpha-Skew-Normal Distribution
Extreme value theory has emerged as one of the most important statistical disciplines for the applied sciences. In this paper, the extremal...
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Asymptotic Analysis of Regression Quantile Estimators for Real-Valued Chirp Signal Model
In this paper, we consider the problem of robust estimation of parameters of a 1-dimensional chirp signal model. We propose regression quantile...
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Asymptotic Solutions of Conical Shells of Constant Thickness
The solutions of conical shells with linearly varying thickness presented in the last chapter have suggested a new approach to obtain asymptotic...
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Tearing a neo-Hookean sheet. Part II: asymptotic analysis for crack tip fields
In this paper, we derive asymptotic crack tip fields during damage and tearing of a neo-Hookean sheet. The material damage near the crack tip is...
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Statistical analysis using multiple censoring scheme under partially accelerated life tests for the power Lindley distribution
If the items are very reliable, assessing the lifetime of them in regular usage requires more time and money than in accelerated conditions. As a...
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Confidence Distribution and Distribution Estimation for Modern Statistical Inference
This chapter introduces to readers the new concept and methodology of confidence distribution and the modern-day distributional inference in...
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A second-order strain gradient fracture model for the brittle materials with micro-cracks by a multiscale asymptotic homogenization
In this work, applying a second-order multiscale asymptotic homogenization, an effective fracture model is established for the brittle materials with...
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Reliability analysis of log-normal distribution with nonconstant parameters under constant-stress model
Under constant-stress accelerated life test, the general progressive type-II censoring sample and the two parameters following the linear Arrhenius...
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A bootstrap**-based weighted average asymptotic sampling formulation for reliability estimation of highly safe structures
Asymptotic sampling (AS) is an efficient simulation-based technique for estimating the small failure probabilities of structures. AS utilizes the...
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Interval Estimation for Quantiles of Several Normal Populations with a Common Standard Deviation
This article discusses the interval estimation of the quantile $$\gamma = \mu _1+ \zeta...
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Efficient path integral approach via analytical asymptotic expansion for nonlinear systems under Gaussian white noise
In this paper an efficient formulation of the Path integral (PI) approach is developed for determining the response probability density functions...
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Instantaneous failure analysis on Lindley distribution under progressive type II censoring
This paper deals with the analysis of the occurrence of instantaneous failures in Lindley distribution using progressive type-II censored samples....
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A critical evaluation of asymptotic sampling method for highly safe structures
Asymptotic sampling is an efficient simulation-based technique for estimating small failure probabilities of structures. The concept of asymptotic...
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Statistical inference of the exponentiated exponential distribution based on progressive type-II censoring with optimal scheme
This article is concerned with the estimation of parameters, reliability and hazard rate functions of the exponentiated exponential distribution...
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Asymptotic matching arguments and DNS for transpired turbulent flows
The work discusses fundamental aspects of local solutions and asymptotic matching for transpired turbulent boundary layers with support from DNS...
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Practical estimation method for extreme value distribution of von Mises stress in ship structure
This study presents a practical method for estimating the extreme value distribution of von Mises stress for ship structural strength evaluations....
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Distribution of the Roots of Certain Random Real Polynomials
Random polynomials appear naturally in different fields of physics, like quantum chaotic dynamics, where one has to study the statistical properties...
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Stress-strength reliability estimation of multicomponent system with non-identical strength components from inverse Pareto distribution
In the case of multicomponent stress strength reliability, independent and identical components are often used. Still, the assumption of identical...
