Wrapped Lomax Distribution :a New CircularProbability Model

 
 
 
  • Abstract
  • Keywords
  • References
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  • 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.

     

     


  • Keywords


    characteristics, circular probability model , trigonometric moments , wrapped Lomax distribution , wrapping .

  • References


      [1] DattatreyaRao A.V., Girija S.V.S., Devaraaj V.J., “On Characteristicsof Wrapped Gamma Distribution”, An International Journal (ESTIJ),ISSN: 2250-3498, Vol.3, No.2, (April 2013).

      [2] DattatreyaRao, A.V., RamabhadraSarma, I. and Girija S.V.S., “OnWrapped Version of Some Life Testing Models”, Comm Statist,-Theor.Meth. , 36, issue # 11, (2007), pp.2027-2035.

      [3] Mardia K.V. and Jupp P.E., Directional Statistics, John Wiley,Chichester(2000).

      [4] Mardia K.V., Statistics of Directional Data,Academic PressNewYork(1972).

      [5] Jammalamadaka S. Rao, Sen Gupta A., Topics in Circular Statistics,World Scientific Press, Singapore, (2001).

      [6] Jammalamadaka S. Rao and Sen Gupta S., “Mathematical Techniquesfor Paleocurrent Analysis: Treatment of Directional Data”,Journal ofintl Assoc. Geol, 4, (1972), pp. 235 –258.

      [7] Girija S.V.S., Dattatreya Rao A.V. and Phani Y., “On Construction ofStereographic Semicircular Models”, Journal of Applied Probabilityand Statistics. Vol. 8, No. 1,(2013), pp. 75-90.

      [8] Girija S.V.S., Dattatreya Rao A.V. and Phani Y., “On StereographicLognormal Distribution ”, International Journal of Advances in APpliedSciences (IJAAS), Vol.2, No.3, (2013), pp.125-132.

      [9] SrinivasaSubrahmanyam P., Dattatreya Rao A.V., Girija S.V.S., “OnWrapping of Exponentiated Inverted Weibull Distribution”, InternationalJournal for Innovative Research in Science &TechnologVol. 3, Issue 11 , (April 2017),ISSN (online): 2349-6010,.

      [10] Fisher, N.I., Statistical Analysis of Circular Data, CambridgeUniversityPress, (1993).

      [11] RamabhadraSarma I., Dattatreya Rao A.V. and Girija S.V.S., “OnCharacteristic Functions of Wrapped Lognormal and WeibullDistribution”,Journal of Statistical Computation and Simulation, Vol. 81, No.5, (2011),pp. 579–589.

      [12] Subba Rao R., Durga mamba A. N., Kantam R.R.L., “ Reliability testplan for size biased lomax model”, International journal of scientificand Innovative mathematical research, Vol. 2, Issue 12, (2015), pp1-8.4 International Journal of Engineering & Technology

      [13] Subba Rao R., Kantam R.R.L., “ Pareto Distribution –Some methodsof Estimation” ,International Journal of Computationl MathematicalIdeas, Vol. 2, Issue 1, (2010).

      [14] SubbaRao R., Prasad G. and Kantam R.R.L. “ Percentiles of RangeChart: Pareto Type Model”, International Journal of Advanced inApplied Science (IJAAS). Vol. 2. No. 3, (2013), pp. 141-144.

      [15] Rao C.R. &Mitra S.K. ,Formulae and Tables for Statistical Work,Statistical Publishing Society,(1975).


 

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Article ID: 18285
 
DOI: 10.14419/ijet.v7i3.31.18285




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