Application of Three Parameter Model to Concave and Convex Curves

Abstract

Many linear and non-linear models have been proposed by various authors for the study of approximation of non linear models by statistical models which are linear in its parameters. Several non linear models have been suggested for the data sets which are prima facie appear like convex or concave curves. Smith (1938), jessen (1942) and Hansen et.al. (1953), Misra (2010), Shukla et.al. 2018), Tiwari (2022) have proposed various non-linear models for the comparative study for such data sets and they compared the parameters like coefficient of determination and sum of squired error. In this paper I have suggested an application of a three parameter linear model to compare these parameters of interest for the data sets which form convex or concave curves.

Country : India

1 R.B. Tiwari

  1. Department of Statistics, D.A-V. College, Kanpur-208001, U. P., India

IRJIET, Volume 6, Issue 7, July 2022 pp. 70-72

doi.org/10.47001/IRJIET/2022.607012

References

  1. Aggrey S E (2009) on Logistic nonlinear mixed effect model for estimating growth parameters. Journal of Poultry Science (2009) vol. 88, pg. 276-280.
  2. Akbar Atif, Pusha G.R., Aslam, Muhammad Warsi S.K.A. (2009).  “Statistical Modeling for citrus yield in Pakistan”. European journal of Scientific Research ISSN 1450-216X vol. 31 No. 1(2009), pp. 52-58.
  3. Cochran W G (1977). Sampling Techniques.John Wiley & Sons.
  4. Jessen R J (1978). Statistical Survey Techniques.Wiley, New York.
  5. Mahir A, Rozita W D W, Khairiah J and Ismail B S (2009). Fitting a Nonlinear Regression Model to Gauge Heavy Metal Uptake in Spinach (Amaranthushybridus L.). American-Eurasian J. Agric. & Environ. Sci., 5(2): 236-243, 2009.
  6. Misra G C (1992). “Some Estimation Precedures in Non-Linear Statistical Models”. The Unpublished Thesis of Ph. D., Kanpur University, Kanpur.
  7. Moh. Saat N Z, Jemain A A, Al-Mashoor S H A (2008). A Comparison of Weibull and Gamma Distribution in Application of Sleeep Apnea. Asian Journal of Mathematics and Statistics 1 (3): 132-138, 2008.
  8. Mukhopadhyay, P. (1998). Theory and Methods of Survey Sampling. Prentice Hall of India Pvt. Ltd. New Delhi, India.
  9. Nygaard R W, Katharina V E and Ronald A S (2008). Models of reading performance in older adults with normal age-related vision. Journal of rehabilitation Research & Development, Volume 45, Number 6, 2008, Pages 901-910.
  10. Singh N O, Alam M W, Paul A K and Kumar S (2009). Length-Weight Relationship and Growth Pattern of Tor Putitora (Hamilton) under Monoculture and Polyculture Systems: A Case Study. J. Ind. Soc. Statist. 63(1), 2009: 85-89.
  11. Shukla et.al. (2020). New Linear Model for Optimal Cluster Size in Cluster Sampling. Statistics in Transition new Series 21(2): page 189-200.
  12. Tiwari R.B. (2022), Application of Three Parameter Model For Determination of optimum Cluster Size, International Journal of Research and Analytical Reviews ijrar, Vol  09, Issue 03, July, 2022. Page: 134-143.