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Ahmad, S. P.
- Performance Rating of Transmuted Ailamujia Distribution:An Analytical Approach
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Authors
Affiliations
1 Department of Computer Science & Engineering, Islamic University of Science & Technology, Awantipoora, Jammu & Kashmir, IN
2 Department of Statistics, University of Kashmir, Srinagar, IN
3 Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, Uttar Pradesh, IN
1 Department of Computer Science & Engineering, Islamic University of Science & Technology, Awantipoora, Jammu & Kashmir, IN
2 Department of Statistics, University of Kashmir, Srinagar, IN
3 Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, Uttar Pradesh, IN
Source
Journal of Applied Information Science, Vol 5, No 1 (2017), Pagination: 31-34Abstract
In this article, a generalization of the Ailamujia distribution so-called transmuted Ailamujia distribution is proposed and studied. We will use the quadratic rank transmutation map (QRTM) in order to generate a flexible family of probability distributions taking Ailamujia distribution as the base value distribution by introducing a new parameter that would offer more distributional flexibility. We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behavior. The superiority of the proposed distribution has been illustrated with an application to a real data set.Keywords
Ailamujia Distribution, Reliability Function, Maximum Likelihood Estimation, Real Life Application.
- The Exponentiated Inverted Exponential Distribution
Abstract Views :222 |
PDF Views:1
Authors
Kawsar Fatima
1,
S. P. Ahmad
1
Affiliations
1 Department of Statistics, University of Kashmir, Srinagar, IN
1 Department of Statistics, University of Kashmir, Srinagar, IN
Source
Journal of Applied Information Science, Vol 5, No 1 (2017), Pagination: 35-41Abstract
In this paper, we have introduced the new family of distribution called Exponentiated inverted Exponential distribution (EIED). The proposed model is positively skewed and its shape could be decreasing or unimodal (depending on its parameter values). Several statistical properties of the Exponentiated inverted exponential distribution are studied and derived. The method of Maximum Likelihood Estimation (MLE) was proposed in estimating its parameters. An application to real data set is finally presented for illustration.Keywords
Inverted Exponential Distribution, Exponentiated Inverted, Exponential Distribution, Structural Properties and Maximum Likelihood Estimation.References
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