SPC using size Biased Maxwell Distribution

  • Itrat Batool Naqvi FC College University, Lahore
  • Wazeela Chaudhry Forman Christian College (A Chartered University)Lahore, Pakistan
Keywords: Biased Maxwell Distribution

Abstract

This paper elucidates the control limits for size biased Maxwell distribution for different sample size(s) with fixed scale parameter. The performance of the control chart observed through the average run length (ARL). The propose control limits, size biased Maxwell (SBMW), compare with existing Maxwell Distribution with same parameter setting and found majority of times better in performance as compare to existing control chart.

Downloads

Download data is not yet available.

Author Biography

Itrat Batool Naqvi, FC College University, Lahore
Assistant Professor, Department of Statistics

References

1. SrinivasaRao.B., and Kantam.R.R.L (2012), Mean and range charts for skewed distributions - A comparison based on half logistic distribution Pakistan Journal of Statistics, 28:437-444.
2. Fisher, R.A (1934). The effects of moments of ascertainment upon the estimation of frequencies. Ann. Eugenics, 6:13-25.
3. SrinivasaRao.B and Srinivasa Kumar.Ch (2015), Variable control charts based on Exponential-Gamma distribution Electronic Journal of Applied Statistical Analysis, 08:57-66.
4. SrinivasaRao.B, N Durgamamba (2014), A Variable Control Charts Based on Percentiles of Size Biased Lomax Distribution ProbStat Forum, 07:55-64.
5. Shukla, K., &Shanker, R. (2020). A Weighted Pranav Distribution and its Application to Survival Data. Indian Journal of Industrial and Applied Mathematics. 11: 79-90
6. Saghir, A., Hamedani, G., Tazeem, S., &Khadim, A. (2017). Weighted Distributions: A Brief Review, Perspective and Characterizations. International Journal of Statistics and Probability, 6, 109. URL: https://doi.org/10.5539/ijsp.v6n3p109
7. Reddy and Venkatesan (2020), SPC using Length Biased Sushila Distribution. Science, Technology and Development, 0950-0707.
8. Park and Wang (2020), A Study on the X¯ and S Control Charts with Unequal Sample Sizes. Mathematic, 08.
9. Amin and Venkatesan (2019), SPC Using the Length Biased Weighted Garima Distribution. Science, Technology and Development, 09:50-0707.
10. D. C.Montgomery (2012), “Introduction to Statistical Quality Control”, 7th ed., Wiley, New York.
Published
2022-12-21
How to Cite
Naqvi, I., & Chaudhry, W. (2022). SPC using size Biased Maxwell Distribution. Journal of Progressive Research in Mathematics, 19(2), 89-96. Retrieved from http://www.scitecresearch.com/journals/index.php/jprm/article/view/2162
Section
Articles