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Fractal dimension confidence interval estimation of epicentral distributions
correlation dimension confidence interval seismicity
2015/9/30
Estimates of the fractal dimension of hypocentral distributions require evaluating the range of independent variables in which fractal parameters exhibit a power law. Systematic and accidental errors ...
Robustness Properties and Confidence Interval Reliability
Robustness Properties Confidence Interval Reliability
2015/7/6
In this chapter, we discuss the robustness and reliability of the estimators of the probability of a rare event (or, more generally, of the expectation of some function of rare events) with respect to...
Calculating a confidence interval on the sum of binned leakage
confidence interval, likelihood ratio, binomial distribution
2011/9/9
Calculating the expected number of misclassified outcomes is a standard problem of particular interest for rare-event searches. The Clopper-Pearson method
allows calculation of classical confidence i...
Confidence interval for the difference of two normal population means with a known ratio of variances
Coverage probability Expected length
2010/9/20
Motivated by the recent work of Schechtman and Sherman [The twosample t-test with a known ratio of variances. Statistical Methodology 4, 508-514, (2007).], we investigate, in this paper, a new exact c...
On construction of the smallest one-sided confidence interval for the difference of two proportions
Binomial distribution coverage probability minimum effectivedose multiple tests Poisson distribution set inclusion
2010/3/11
For any class of one-sided 1− confidence intervals with a certain
monotonicity ordering on the random confidence limit, the smallest
interval, in the sense of the set inclusion for the differ...
Admissibility of the usual confidence interval in linear regression
admissibility compromise decision theory confidence interval decisiontheory
2010/3/9
Consider a linear regression model with independent and identically normally distributed
random errors. Suppose that the parameter of interest is a specified linear
combination of the regression par...
An asymptotic fixed-precision confidence interval for the minimum of a quandratic regression function
An asymptotic fixed-precision confidence interval a quandratic regression function
2009/9/23
An asymptotic fixed-precision confidence interval for the minimum of a quandratic regression function。
Optimal Conditional Confidence Interval for the Shape Parameter of a Weibull Distribution
Optimal Conditional Confidence Interval the Shape Parameter a Weibull Distribution
2009/9/17
Optimal Conditional Confidence Interval for the Shape Parameter of a Weibull Distribution。
Explicit Formula for Constructing Binomial Confidence Interval with Guaranteed Coverage Probability
Confidence Interval Probability Statistics Normal Approximation
2010/4/30
In this paper, we derive an explicit formula for constructing the
confidence interval of binomial parameter with guaranteed coverage probability.
The formula overcomes the limitation of normal appro...