SPC using size Biased Maxwell Distribution
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.
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.
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
Issue
Section
Articles
Copyright (c) 2022 Journal of Progressive Research in Mathematics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
