International Journal of Statistics and Reliability Engineering

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Vol 10, No 2:

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Characterizations and Goodness of Fit of Sauleh Distribution with Applications in Food Security and Climate Change in Agriculture Production of India

Abstract

Here, a new study of Sauleh distribution termed as length biased Sauleh distribution has been established. The mathematical and statistical properties of the proposed distribution have been discussed and the model parameters are estimated by using the technique of maximum likelihood estimation. Finally, the distribution has been analysed and investigated with two real life data sets to demonstrate its goodness of fit. A numerical study is carried out in the agricultural production of India. The vulnerable factors of food security and climate change are also discussed.

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References

1. A.B. Ghorbal; On Properties of Length-biased Exponential Model. Mathematical Problems in Engineering, 2022, p. 9779767 (2022). DOI: https://doi.org/10.1155/2022/9779767
2. A.I. Al-Omari; K. Alhyasat; K. Ibrahim and M.A. Abu Bakar; Power Length Biased Suja Distribution: Properties and Application. Electronic Journal of Applied Statistical Analysis, 12(2), 429-452 (2019).
3. A.M. Abd-Elfattah; M. Mahdy and G. Ismail; Length Biased Burr-XII Distribution: Properties and Application. International Journal of Sciences: Basic and Applied Research (IJSBAR), 56(1), 222-244 (2021).’
4. A. Aijaz; A. Ahmad and R. Tripathi; Sauleh Distribution with Statistical Properties and Applications. Annals of Biostatistics & Biometric Applications, 4(1), 1-5 (2020).
5. A. Mustafa and M.I. Khan; The Length Biased Powered Inverse Rayleigh Distribution with Applications. J. Appl. Math. & Informatics, 40(1-2), 1-13 (2022).
6. Annual Report; Department of Agriculture, Cooperation and Farmers welfare, Ministry of Agriculture and Farmers Welfare, Government of India, Krishi Bhawan, New Delhi, 1-208 (2017).
7. A. Sharma; S. Monlai; Z. Shi and C. Manpoong; Current Status of Food Security in India. Indian Journal of Pure and Applied Biosciences, 8(1), 293-302 (2020).
8. C.R. Rao; On Discrete Distributions Arising Out of Method of Ascertainment, in Classical and Contagious Discrete, G.P. Patiled; Pergamum Press and Statistical Publishing Society, Calcutta, 320-332 (1965).
9. D.R. Cox; Renewal Theory. Barnes and Noble, New York (1962).
10.D.R. Cox; Some Sampling Problems in Technology. In New Development in Survey Sampling, Johnson, N. L. and Smith, H., Jr .(eds.) New York Wiley- Interscience, 506-527 (1969).
11.J. Mathew; On Some Length-Biased Distributions: An Overview. Research & Reviews: Journal of Statistics (RRJOST), 9(1), 27-47 (2020).
12.K. Modi and V. Gill; Length Biased Weighted Maxwell Distribution. Pakistan Journal of Statistics and Operation Research, 11(4), 465-472 (2015).
13.M. Ahsan ul Haq; R.M. Usman; S. Hashmi and A.I. Al-Omeri; The Marshall Olkin Length Biased Exponential Distribution and its Applications. Journal of King Saud University Science, 31, 246-251 (2019).
14.M.M.R.M. Catherin and P.P.C. Jose; Performance of Food Grain Production in India. International Journal of Economic and Business Review, 6(8), 47-50 (2018).
15.M. Zelen; Problems in Cell Kinetic and the Early Detection of Disease. In Reliability and Biometry, F. Proschan & R. J. Sering, eds, SIAM, Philadelphia, 701-706 (1974).
16.R.A. Fisher; The Effects of Methods of Ascertainment upon the Estimation of Frequencies. Ann. Eugenics, 6, 13-25 (1934).
17.R.A. Ganaie and V. Rajagopalan; A New Extension of Power Quasi Lindley Distribution with Properties and Applications of the Life-time Data. International Journal of Statistics and Reliability Engineering, 8(1), 171-183 (2021).
18.R Core Team. R Version 3.5.3: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. URL https:// www.R-project .org/ (2019).
19.S. Mudasir and S.P. Ahmad; Characterization and Estimation of Length Biased Nakagami Distribution. Pakistan Journal of Statistics and Operation Research, 14(3), 697-715 (2018).
20.S.M. Maheswar and M. Biswajit; India’s National Food Security Programme: A Strategic Insight. Sadhana Indian Academy of Sciences, 43, 194 (2018).
21.T. Chaito; P. Nanthaprut; N. Nakharutai and M. Khamkong; The Length Biased Gamma-Rayleigh Distribution with Applications. Thailand Statistician, 20(2), 293-307 (2022).
22. Y. Atikankul; A. Thongteeraparp; W. Bodhisuwan and A. Volodin; The length-biased Weighted Lindley Distribution with Applications. Lobachevskii Journal of Mathematics, 41(3), 308-319 (2020).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

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