Wrapped Lomax Distribution :a New CircularProbability Model
-
https://doi.org/10.14419/ijet.v7i3.31.18285
Received date: August 26, 2018
Accepted date: August 26, 2018
Published date: August 24, 2018
-
characteristics, circular probability model, trigonometric moments, wrapped Lomax distribution, wrapping . -
Abstract
Lomax Distribution (Pareto Type IV) is fitted for a life time random variable which can be studied for the data belongs to Actuarialscience, medical diagnosis and Queuing theory etc. In the time of day events observed in cycles like hourly, daily, weekly, monthlyor yearly are in circular distribution. By adopting the technique of wrapping an attempt is made to identify a new circular probabilitymodel originate as Wrapped Lomax Distribution. The concept of circular model is introduced and strategy of wrapping is given forLomaxDistribution. Wrapped Lomax Distribution PDF and CDF are derived, their graphs are also studied. The trigonometric momentsand characteristic function of Wrapped Lomax Distribution are obtained and their graphs are also depicted. The characteristics likemean, variance, skewness, kurtosis and circular standard deviation for various values of location and scale parameters are derived in this paper.
-
References
- DattatreyaRao A.V., Girija S.V.S., Devaraaj V.J., “On Characteris-ticsof Wrapped Gamma Distribution”, An International Journal (ESTIJ),ISSN: 2250-3498, Vol.3, No.2, (April 2013).
- DattatreyaRao, A.V., RamabhadraSarma, I. and Girija S.V.S., “OnWrapped Version of Some Life Testing Models”, Comm Stat-ist,-Theor.Meth. , 36, issue # 11, (2007), pp.2027-2035.
- Mardia K.V. and Jupp P.E., Directional Statistics, John Wiley,Chichester(2000).
- Mardia K.V., Statistics of Directional Data,Academic Press-NewYork(1972).
- Jammalamadaka S. Rao, Sen Gupta A., Topics in Circular Statis-tics,World Scientific Press, Singapore, (2001).
- Jammalamadaka S. Rao and Sen Gupta S., “Mathematical Tech-niquesfor Paleocurrent Analysis: Treatment of Directional Da-ta”,Journal ofintl Assoc. Geol, 4, (1972), pp. 235 –258.
- Girija S.V.S., Dattatreya Rao A.V. and Phani Y., “On Construction ofStereographic Semicircular Models”, Journal of Applied Probabil-ityand Statistics. Vol. 8, No. 1,(2013), pp. 75-90.
- Girija S.V.S., Dattatreya Rao A.V. and Phani Y., “On Stereograph-icLognormal Distribution ”, International Journal of Advances in APpliedSciences (IJAAS), Vol.2, No.3, (2013), pp.125-132.
- SrinivasaSubrahmanyam P., Dattatreya Rao A.V., Girija S.V.S., “OnWrapping of Exponentiated Inverted Weibull Distribution”, In-ternationalJournal for Innovative Research in Science &TechnologVol. 3, Issue 11 , (April 2017),ISSN (online): 2349-6010,.
- Fisher, N.I., Statistical Analysis of Circular Data, CambridgeUni-versityPress, (1993).
- RamabhadraSarma I., Dattatreya Rao A.V. and Girija S.V.S., “On-Characteristic Functions of Wrapped Lognormal and WeibullDistri-bution”,Journal of Statistical Computation and Simulation, Vol. 81, No.5, (2011),pp. 579–589.
- Subba Rao R., Durga mamba A. N., Kantam R.R.L., “ Reliability testplan for size biased lomax model”, International journal of scien-tificand Innovative mathematical research, Vol. 2, Issue 12, (2015), pp1-8.4 International Journal of Engineering & Technology
- Subba Rao R., Kantam R.R.L., “ Pareto Distribution –Some meth-odsof Estimation” ,International Journal of Computationl Mathe-maticalIdeas, Vol. 2, Issue 1, (2010).
- SubbaRao R., Prasad G. and Kantam R.R.L. “ Percentiles of RangeChart: Pareto Type Model”, International Journal of Ad-vanced inApplied Science (IJAAS). Vol. 2. No. 3, (2013), pp. 141-144.
- Rao C.R. &Mitra S.K. ,Formulae and Tables for Statistical Work,Statistical Publishing Society,(1975).
-
Downloads
-
How to Cite
Subba Rao, R., Ravindranath, V., V.Dattatreya Rao, A., Prasad, G., & Ravi Kishore, P. (2018). Wrapped Lomax Distribution :a New CircularProbability Model. International Journal of Engineering and Technology, 7(3.31), 150-152. https://doi.org/10.14419/ijet.v7i3.31.18285
