An Efficiency of Interval Estimation for Continuous Variable by Jackknifing and Bootstrapping Method

Authors

  • Napattchan Dansawad Department of Applied Mathematics, Faculty of Science and Technology, Valaya Alongkorn Rajabhat University under the Royal Patronage, Pathum Thani https://orcid.org/0000-0002-4581-4118

Keywords:

Jackknifing, Bootstrapping, Parameter estimation, Confidence interval

Abstract

The purpose of this study was to compare the efficiency of interval estimation mean, variance, skewness and kurtosis of continuous variable between Jackknifing and Bootstrapping method. Data are generated using Monte Carlo Simulation Technique by R-Program. Standard normal distribution, t-distribution, exponential distribution, and gamma distribution were generated at the sample of size 100, 200, 300, 400 and 500 at significance levels of 0.01 and 0.05. In each situation data was simulated and repeated 1,000 times. The efficiency was considered by confidence coefficient of the interval estimation. The results showed that Bootstrapping method gave the higher confidence coefficient than Jackknifing method in four parameters of each distribution. Therefore, Bootstrapping method was more efficient than Jackknifing method.

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References

Aiemsuwan, P. & Maiklad, T. (2013). A comparisom of confidence intervals for the quartile range. The Journal of KMUTNB. 23(2), 410-418.

Boonpen, S., Chomtee, B., & Hirunwong, A. (2015). A comparison of Intervals estimation methods for scale parameter of the two-parameter Weibull distribution. Thai Science and Technology Journal. 23(4), 579-587.

Efron, B. (1979). Bootstrapping methods: Another look at the Jackknife. The Annals of Statistics. 7, 1-26.

Efron, B. (1982). The Jackknife the Bootstrap and Other Resampling Plans. Philadelphia: SIAM.

Puttachaiyatad, K. (2009). A comparison of Estimation Methods for symmetric and asymmetric distributed data by Jackknifing methos and Bootstrapping method. In the 19 th Thaksin University annual conference (pp. 157-167). Songkhla: Thailand.

Miller, R. G. (1974). The Jackknife – a Review. Biometrika. 61, 1-15.

Quenouille, M. H. (1956). Notes on Bias in estimation. Biometrika. 43, 353-360.

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Published

2021-12-27

Issue

Section

Research Article