In this article, we propose a new statistical distribution and it is named as Cubic rank transmuted minimax distribution. The generalization of minimax probability distribution using the cubic quadratic rank transmutation map studied by Granzotto et al. [4] to develop cubic rank transmuted minimax distribution. We have derived some statistical properties of the proposed distribution. We have studied certain essential characteristics of cubic rank transmuted minimax distribution. Finally we derived parameter estimation using maximum likelihood method for estimating the parameters of cubic rank transmuted minimax distribution.

1.
G. R.
Aryal
and
C. P.
Tsokos
.
On the Transmuted Extreme Value Distribution With Application
, (
Nonlinear Analysis
,
71
,
2009
), pp.
1401
1407
.
2.
G. R.
Aryal
and
C. P.
Tsokos
.
Transmuted Weibull Distribution: A Generalization of the Weibull Probability Distribution
, (
European Journal of Pure and Applied Mathematics
,
4
(
2
),
2011
), pp.
89
102
.
3.
G. R.
Aryal
.
Transmuted Log-Logistic Distribution
,
Journal of Statistics Applications and Probability
,
2
(
1
),
2013
), pp.
11
20
.
4.
D. C. T.
Granzatto
,
F.
Louzada
, and
N.
Balakrishnan
.
Cubic Rank Transmuted Distributions: Inferential Issues and Applications
, (
Journal of Statistical Computation and Simulation
,
87
(
14
),
2017
), pp.
2760
2778
.
5.
N. L.
Johnson
,
S.
Kotz
and
N.
Balakrishnan
.
Continuous Univariate Distributions
, (
John Wiley and Sons, Inc
,
New York
, 2,
1995
).
6.
M. C.
Jones
.
The Minimax Distribution: A Beta-Type Distribution with Some Tractability Advantages
, (
The Open University
,
2007
), pp.
1
21
7.
S. P. Kawsar
Fatima
,
T. A.
Ahmad
and
Chishti.
A Generalization of Minimax Distribution
,
International Journal of Statistics and Mathematics
,
4
(
1
),
2017
), pp.
82
98
.
8.
J. B.
McDonald
.
Some Generalized Functions for the Size Distribution of Income
,
Econometrica
,
52
(
3
),
1984
), pp.
647
663
.
9.
F.
Merovci
.
Transmuted Lindley Distribution
, (
International Journal of Open Problems in Computer Science and Mathematics
,
6
(
2
),
2013
, pp.
63
72
.
10.
F.
Merovci
.
Transmuted Rayleigh Distribution
,
Austrian Journal of Statistics
,
42
(
1
),
2013
), pp.
21
31
.
11.
Muhammad Shuaib
Khan
and
Robert
King
.
Transmuted Modified Weibull Distribution: A Generalization of the Modified Weibull Probability Distribution
,
European Journal of Pure and Applied Mathematics
,
6
(
1
),
2013
, pp.
66
88
.
12.
W.
Shaw
, and
I.
,
Buckley.
The Alchemy of Probability Distributions: Beyond Gram-Charlier Expansions and Skew-Kurtotic Normal Distribution from a Rank Transmutation Map
, (
UCL Discovery Repository
2007
), pp.
1
28
.
This content is only available via PDF.
You do not currently have access to this content.