*Article* **New Modified Burr III Distribution, Properties and Applications**

**Farrukh Jamal 1,\*, Ali H. Abuzaid 2, Muhammad H. Tahir 1, Muhammad Arslan Nasir 3, Sadaf Khan <sup>1</sup> and Wali Khan Mashwani <sup>4</sup>**


**Abstract:** In this article, Burr III distribution is proposed with a significantly improved functional form. This new modification has enhanced the flexibility of the classical distribution with the ability to model all shapes of hazard rate function including increasing, decreasing, bathtub, upsidedown bathtub, and nearly constant. Some of its elementary properties, such as *r*th moments, *s*th incomplete moments, moment generating function, skewness, kurtosis, mode, *i*th order statistics, and stochastic ordering, are presented in a clear and concise manner. The well-established technique of maximum likelihood is employed to estimate model parameters. Middle-censoring is considered as a modern general scheme of censoring. The efficacy of the proposed model is asserted through three applications consisting of complete and censored samples.

**Keywords:** Burr III distribution; stochastic ordering; middle-censoring; order statistics

**MSC:** 60E05; 62N05; 62F10
