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 Volume 5, Issue 11 (November 2018), Pages: 46-50


 Original Research Paper

 Title: The inverted weighted exponential distribution with applications

 Author(s): Pelumi E. Oguntunde 1, *, Kolawole A. Ilori 2, Hilary I. Okagbue 1


 1Department of Mathematics, Covenant University, Ota, Ogun State, Nigeria
 2Statistics Program, National Mathematical Centre, Abuja, Nigeria

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A two-parameter Inverted Weighted Exponential distribution was derived in this paper. Its various statistical properties were established and the maximum likelihood estimation method was used to estimate the model parameters. Two real life applications were provided to assess the superiority of the Inverted Weighted Exponential distribution over existing distributions. 

 © 2018 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (

 Keywords: Distribution, Generalized models, Mathematical statistics, Maximum likelihood estimation, Statistical properties, Weighted exponential

 Article History: Received 4 May 2018, Received in revised form 24 August 2018, Accepted 8 September 2018

 Digital Object Identifier:


 Oguntunde PE, Ilori KA, and Okagbue HI (2018). The inverted weighted exponential distribution with applications. International Journal of Advanced and Applied Sciences, 5(11): 46-50

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 References (16) 

  1. Bhaumik DK, Kapur K, and Gibbons RD (2009). Testing parameters of a gamma distribution for small samples. Technometrics, 51(3): 326-334.   [Google Scholar]
  1. Bourguignon M, Silva RB, and Cordeiro GM (2014). The Weibull-G family of probability distributions. Journal of Data Science, 12(1): 53-68.   [Google Scholar]
  1. Dar AA, Ahmed A, and Reshi JA (2017). Transmuted weighted exponential distribution and its application. Journal of Statistics Applications & Probability, 6(1): 219-232.   [Google Scholar]
  1. Gupta RD and Kundu D (2009). A new class of weighted exponential distributions. Statistics, 43(6): 621-634.   [Google Scholar]
  1. Merovci F, Khaleel MA, Ibrahim NA, and Shitan M (2016). The beta Burr type X distribution properties with application. SpringerPlus, 5(1): 697-715.    [Google Scholar]PMid:27347471 PMCid:PMC4899377
  1. Nasiru S (2015). Another weighted weibull distribution from Azzalini's family. European Scientific Journal, 11(9): 134-144.   [Google Scholar]
  1. Oguntunde PE (2015). On the exponentiated weighted exponential distribution and its basic statistical properties. Applied Science Reports, 10(3): 160-167.   [Google Scholar]
  1. Oguntunde PE, Khaleel MA, Ahmed MT, Adejumo AO, and Odetunmibi OA (2017). A New generalization of the lomax distribution with increasing, decreasing, and constant failure rate. Modelling and Simulation in Engineering, 2017: Article ID 6043169, 6 pages.   [Google Scholar]
  1. Oguntunde PE, Owoloko EA, and Balogun OS (2016). On a new weighted exponential distribution: theory and application. Asian Journal of Applied Sciences, 9(1): 1-12.   [Google Scholar]
  1. Roy S and Adnan MAS (2012). Wrapped weighted exponential distributions. Statistics and Probability Letters, 82(1): 77-83.   [Google Scholar]
  1. Saghir A and Saleem M (2016). Double weighted weibull distribution: Properties and applications. Mathematical Theory and Modeling, 6(7): 28-46.   [Google Scholar]
  1. Saghir A, Hamedani GG, Tazeem S, and Khadim A (2017). Weighted distributions: A brief review, perspective and characterizations. International Journal of Statistics and Probability, 6(3): 109-131.   [Google Scholar]
  1. Saghir A, Saleem M, Khadim A, and Tazeem S (2015). The modified double weighted exponential distribution with properties. Mathematical Theory and Modeling, 5(8): 2224-5804.   [Google Scholar]
  1. Sherina V and Oluyede BO (2014). Weighted inverse weibull distribution: Statistical properties and applications. Theoretical Mathematics and Applications, 4(2): 1-30.   [Google Scholar]
  1. Smith RL and Naylor JC (1987). A comparison of maximum likelihood and Bayesian estimators for the three-parameter weibull distribution. Applied Statistics, 36(3): 358-369.   [Google Scholar]
  1. Yassmen Y and Abdelall Y (2016). The transmuted weighted exponential distribution: Theory and application. International Journal of Mathematical, 7(5): 119-127.   [Google Scholar]