Curvative measurements in nuclear emulsions

Lamanna, E.; Sgarbi, C.

doi:10.1016/0029-554x(81)90365-7

Cited by 7 publications

(2 citation statements)

References 14 publications

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“…The reciprocal of a normal mean is applied in the area of nuclear physics, agriculture and economic. For example, Lamanna et al (1981) Many researchers studied the reciprocal of a normal mean. For instance, Zaman (1981) discussed the estimators without moments in the case of the reciprocal of a normal mean.…”

Section: Introductionmentioning

confidence: 99%

Approximate confidence interval for the reciprocal of a normal mean with a known coefficient of variation

Panichkitkosolkul¹

2024

Adv Meth Stat

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An approximate confidence interval for the reciprocal of a normal population mean with a known coefficient of variation is proposed. This has applications in the area of nuclear physics, agriculture and economic when the researcher knows the coefficient of variation. The proposed confidence interval is based on the approximate expectation and variance of the estimator by Taylor series expansion. A Monte Carlo simulation study was conducted to compare the performance of the proposed confidence interval with the existing confidence interval. Simulation results show that the proposed confidence interval performs as well as the existing one in terms of coverage probability. However, the approximate confidence interval is very easy to calculate compared with the exact confidence interval.

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Section: Introductionmentioning

confidence: 99%

Approximate confidence interval for the reciprocal of a normal mean with a known coefficient of variation

Panichkitkosolkul¹

2024

Adv Meth Stat

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“…For example, Lamanna et al [1] studied charged particle momentum, = −1 , where is the track curvature of a particle. The reciprocal of a normal mean is given by…”

Section: Introductionmentioning

confidence: 99%

Statistical Tests for the Reciprocal of a Normal Mean with a Known Coefficient of Variation

Panichkitkosolkul

2015

Journal of Probability and Statistics

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An asymptotic test and an approximate test for the reciprocal of a normal mean with a known coefficient of variation were proposed in this paper. The asymptotic test was based on the expectation and variance of the estimator of the reciprocal of a normal mean. The approximate test used the approximate expectation and variance of the estimator by Taylor series expansion. A Monte Carlo simulation study was conducted to compare the performance of the two statistical tests. Simulation results showed that the two proposed tests performed well in terms of empirical type I errors and power. Nevertheless, the approximate test was easier to compute than the asymptotic test.

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