scholarly journals Confidence interval estimation of gamma distribution lifetime data using score and bootstrap methods

2021 ◽  
Vol 4 (1) ◽  
pp. 93-100
Author(s):  
Larasati Larasati ◽  
Rudi Ruswandi ◽  
Fitriani Fitriani
Keyword(s):  
Confidence Interval ◽  
Gamma Distribution ◽  
Bootstrap Method ◽  
Estimation Method ◽  
Interval Estimation ◽  
Likelihood Estimation ◽  
Aircraft Engine ◽  
Estimation Of Parameters ◽  
Engine Cooling ◽  
Confidence Interval Estimation

Confidence interval estimation of parameters determines the value interval, which is calculated based on statistical measurements and has specific estimates probability that contains the actual parameters. A method is needed to estimate the parameters' confidence interval, and the methods used are the Score method and the Bootstrap method. This study aims to estimate parameters by using the maximum likelihood estimation method and analyze the reliability of the aircraft engine cooling system's lifetime that follows the Gamma Distribution, and estimate the confidence interval of the parameters.

Modeling and Uncertainty Estimation of Wind Power Curve Based on Recorded Field Data

2014 ◽  
Vol 986-987 ◽  
pp. 694-697 ◽  
Author(s):  
Peng Lin ◽  
Shu Qiang Zhao
Keyword(s):  
Confidence Interval ◽  
Wind Power ◽  
Field Data ◽  
Estimation Method ◽  
Interval Estimation ◽  
Uncertainty Estimation ◽  
Statistical Characteristics ◽  
Power Curve ◽  
Speed Level ◽  
Confidence Interval Estimation

Wind power curve of wind turbine has great importance in the prediction of wind power. The measured wind power curve is drawn by method of bins based on recorded field data; the uncertainty factors of the wind power curve is analyzed, and a non-parametric confidence interval estimation method is proposed based on analyzing the statistical characteristics of the data distribution. By means of the method, a probability density function model for wind power in each wind speed level is established, and the uncertainty estimation confidence interval of wind power curve is obtained on the basis of deterministic estimation. The example analysis proves the efficiency and feasibility of the method proposed in this paper.

A Confidence Interval Estimation Method for Process Capability Index with Bias

2014 ◽  
Vol 1039 ◽  
pp. 622-626
Author(s):  
Zai Fang Zhang ◽  
Xiao Song Wu ◽  
Rui Miao ◽  
Bei Xin Xia
Keyword(s):  
Confidence Interval ◽  
Manufacturing Industry ◽  
Research Work ◽  
Estimation Method ◽  
Interval Estimation ◽  
Process Capability ◽  
Process Capability Index ◽  
Management Tool ◽  
Capability Index ◽  
Confidence Interval Estimation

Process capability index (PCI) has been widely applied in manufacturing industry as an effective management tool for quality evaluation and improvement, whose calculation in most existing research work is premised on the assumption that there exists no bias. In this paper, the bias of gauge which exerts an effect on the calculation of PCI is indicated inevitable. The influence on PCI caused by the bias is analyzed by constructing a comparative ratio R between the empirical process capability index and the PCI. A confidence interval estimation method is proposed to solve the underestimation problem of PCI.

scholarly journals The use of the bootstrap method for the assessment of investment effectiveness and risk – the case of confidence intervals estimation for the Sharpe ratio and TailVaR

2020 ◽  
Vol 1/2020 (13) ◽  
pp. 40-50
Author(s):  
Jarno Klaudia ◽  
◽  
Smaga Łukasz ◽  
Keyword(s):  
Confidence Interval ◽  
Confidence Intervals ◽  
Stock Exchange ◽  
Bootstrap Method ◽  
Interval Estimation ◽  
Sharpe Ratio ◽  
Estimation Methods ◽  
Bootstrap Confidence Interval ◽  
Warsaw Stock Exchange ◽  
Confidence Interval Estimation

This paper is aimed at presenting application of bootstrap interval estimation methods to the assessment of financial investment’s effectiveness and risk. At first, we give an overview of various methods of bootstrap confidence interval estimation, i.e. bootstrap-t interval, percentile interval and BCa interval. Then, bootstrap confidence interval estimation methods are used to estimate confidence intervals for the Sharpe ratio and TailVaR of the Warsaw Stock Exchange sectoral indices. The results show that the bootstrap confidence intervals of different types are quite similarly positioned for each of the analysed index and measure. Taking into the account the locations of confidence intervals for both the Sharpe ratio and TailVaR, the real estate sector tends to be the most advantageous from the investor’s viewpoint.

Mortality rate and confidence interval estimation in humanitarian emergencies

Disasters ◽  
2009 ◽  
Vol 34 (1) ◽  
pp. 164-175 ◽  
Author(s):  
Kevin Sullivan ◽  
S.M. Moazzem Hossain ◽  
Bradley A. Woodruff
Keyword(s):  
Mortality Rate ◽  
Confidence Interval ◽  
Interval Estimation ◽  
Humanitarian Emergencies ◽  
Confidence Interval Estimation
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