ON THE PROPERTIES AND MLEs OF GENERALIZED ODD GENERALIZED EXPONENTIAL- EXPONENTIAL DISTRIBUTION
DOI:
https://doi.org/10.33003/fjs-2020-0404-468Keywords:
flexible generalized exponential model, non-monotone failure rates, moments, and method of maximum likelihoodAbstract
For proper actualization of the phenomenon contained in some lifetime data sets, a generalization, extension or modification of classical distributions is required. In this paper, we introduce a new generalization of exponential distribution, called the generalized odd generalized exponential-exponential distribution. The proposed distribution can model lifetime data with different failure rates, including the increasing, decreasing, unimodal, bathtub, and decreasing-increasing-decreasing failure rates. Various properties of the model such as quantile function, moment, mean deviations, Renyi entropy, and order statistics. We provide an approximation for the values of the mean, variance, skewness, kurtosis, and mean deviations using Monte Carlo simulation experiments. Estimating of the distribution parameters is performed using the maximum likelihood method, and Monte Carlo simulation experiments is used to assess the estimation method. The method of maximum likelihood is shown to provide a promising parameter estimates, and hence can be adopted in practice for estimating the parameters of the distribution. An application to real and simulated datasets indicated that the new model is superior to the fits than the other compared distributions
References
Abo-Elmagd M. Ahmed Saleh, Afifi G. (2018). ‘Evaluation of radon related parameters in environmental samples from Jazan city, Saudi Arabia’, Journal of Radiation Research and Applied Sciences 11 (2018) 104-110
Asuku, A., Bello, I. A., Njidda, P. A. & Umar, A. (2019). Determination of radon exhalation rate from some selected building materials in Samaru, Zaria-Nigeria, FUDMA Journal of Sciences, Vol. 3 No. 1, pp1-5.
Arabi .A.S, Funtua I.I, B. B. M. Dewu, and Muhammad A. M. (2015), ‘Radiochemistry Background Radiation and Radiological Hazard Associated with Local Building Materials around Zaria, Nigeria’ Radiochemistry Vol. 57, No. 2, pp. 207–212.
Bruzzi L. Righi S., (2006) Natural radioactivity and radon exhalation in building materials used in Italian dwellings. J Environ Radioact 88:158–170
Deepak Verma, M. Shakir Khan and Mohd. Zubair (2012). Assessment of effective Radium content and Radon exhalation rates in soil samples, journal of Radioanal Nuclear Chemistry, DOI: 10.1007/s10967-012-1694-1
Durridge Radon Instrumentation RAD-H2O User Manual (2016). Available online at: https://www.durridge.com/documentation/rad%20H2020%manual.pdf.
European Commission (EC), Radiation Protection Unit. (1999). Radiological protectionprinciples concerning the natural radioactivity of building materials.
Radiation Protection, 112. Ghosh, D., Deb, A., Bera, S., Sengupta, R., & Patra, K. K.(2008).
Fasae K.P (2013) ‘Natural Radioactivity in Locally Produced Building Materials in Ekiti State, Southwestern Nigeria’ Civil and Environmental Research Vol.3, No.11, pp. 99 – 112.
Huda R. Algaim, Rifat M. Dakhil and Isa J. Al-Khalifa (2012). Determination of Radon and Thoron Activity in the Soil By using Solid State Nuclear Track Detectors (SSNTDs), Passive Technique, Advances in Applied Science Research, 3(2): 950-961.
ICRP ‘Protection Against Radon-222 at Home and at Work’, ICRP Publication 65, Ann. ICRP, 1993, vol. 23, no. 2.
Muhammad Attahiru Abdullahi (2017). Assessment of Radiological Hazards around Ririwai Tin Mines, Kano State, North Western Nigeria, a PhD. thesis in Nuclear Physics, Department of Physics Faculty of Physical Sciences Ahmadu Bello University, Zaria.
Nisha Mann, Sushil Kumar, Amit Kumar, R.P. Chauhan and A.K. Garg (2014). Measurement of Radon Exhalation Rates in Soil Samples from Western Haryana, Journal of Applied Physics, 5(2): 56-59.
Oni, E.A., Oni, O.M., Oladapo O.O., Olatunde I.D., and Adediwura F.E. (2016). ‘Measurement of Radon Concentration in Drinking Water of Ado-Ekiti, Nigeria’ Journal of Academia and Industrial Research, Vol. 4 No. 8, pp19-23.
Oni Emmanuel Abiodun and Theophilus Aanuoluwa Adagunodo (2019). ‘Assessment of Radon Concentration in Groundwater within Ogbomoso, SW Nigeria’ J. Phys.: Conf. Ser. 1299 012098 2019.
WHO ‘Guidelines for Drinking Water Quality’, Incorporating First Addendum, vol. 1 Recommendations, WHO, 2016, 3rd ed.
Rafat M. Amin (2015) ‘A study of radon emitted from building materials using solid state nuclear track detectors’ Journal of Radiation Research and Applied Sciences (8) 516-522
Sudhir Mittal, Asha Rani and Rohit Mehra (2016). ‘Estimation of radon concentration in soil and groundwater samples of Northern Rajasthan, India’, Journal of Radiation Research and Applied Sciences, vol 9, pp 125-130.
Tuccimei P, Moroni M, Norcia D (2006) ‘Simultaneous Determination of 222Rn and 220Rn Exhalation rates from Building Materials used in Central Italy with Accumulation Chambers and a Continuous Solid State Alpha Detector: Influence of Particle Size, Humidity and Precursors Concentration’. Appl Radiat Isot 64:254 – 263.
Published
How to Cite
Issue
Section
FUDMA Journal of Sciences