A new modified Kies Fréchet distribution: Applications of mortality rate of Covid-19

Anum Shafiq, S. A. Lone, Tabassum Naz Sindhu, Youssef El Khatib, Qasem M. Al-Mdallal, Taseer Muhammad

Research output: Contribution to journalArticlepeer-review

46 Citations (Scopus)


The purpose of this paper is to identify an effective statistical distribution for examining COVID-19 mortality rates in Canada and Netherlands in order to model the distribution of COVID-19. The modified Kies Frechet (MKIF) model is an advanced three parameter lifetime distribution that was developed by incorporating the Frechet and modified Kies families. In particular with respect to current distributions, the latest one has very versatile probability functions: increasing, decreasing, and inverted U shapes are observed for the hazard rate functions, indicating that the capability of adaptability of the model. A straight forward linear representation of PDF, moment generating functions, Probability weighted moments and hazard rate functions are among the enticing features of this novel distribution. We used three different estimation methodologies to estimate the pertinent parameters of MKIF model like least squares estimators (LSEs), maximum likelihood estimators (MLEs) and weighted least squares estimators (WLSEs). The efficiency of these estimators is assessed using a thorough Monte Carlo simulation analysis. We evaluated the newest model for a variety of data sets to examine how effectively it handled data modeling. The real implementation demonstrates that the proposed model outperforms competing models and can be selected as a superior model for developing a statistical model for COVID-19 data and other similar data sets.

Original languageEnglish
Article number104638
JournalResults in Physics
Publication statusPublished - Sept 2021


  • Estimation techniques
  • Least Square Estimates
  • MKIF distribution
  • Mean square error
  • Weighted Least Square Estimates

ASJC Scopus subject areas

  • General Physics and Astronomy


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