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Table 1 Sub-models of TG-QHR distribution

From: The transmuted geometric-quadratic hazard rate distribution: development, properties, characterizations and applications

Sr.No.

θ

λ

α

β

γ

Name of Distribution

1

θ

λ

α

β

γ

Transmuted Geometric Quadratic Hazard Rate(TG-QHR)

2

1

λ

α

β

γ

Transmuted Quadratic Hazard Rate(T-QHR)

3

1

0

α

β

γ

Quadratic Hazard Rate(QHR)

4

θ

0

α

β

γ

Quadratic Hazard Rate- Geometric (QHR-G) [Okasha et al.; 2015]

5

θ

λ

0

0

γ

Transmuted Geometric Weibull(TG-W) (Nofal et al.; 2017)

6

θ

λ

0

β

0

Transmuted Geometric Rayleigh(TG-R)

7

θ

λ

α

0

0

Transmuted Geometric Exponential (TG-E)

8

θ

λ

α

β

0

Transmuted Geometric Linear failure rate (TG-LFR)

9

1

λ

0

0

γ

Transmuted Weibull (T-W) [Khan et al.; 2017]

10

1

λ

0

β

0

Transmuted Rayleigh(T-R)[Merovci, F.; 2013]

11

1

λ

α

0

0

Transmuted Exponential (T-E)

12

1

λ

α

β

0

Transmuted Linear failure rate (T-LFR)

13

θ

0

0

0

γ

Weibull Geometric (W-G)[Barreto-Souza et al.; 2011]

14

θ

0

0

β

0

Rayleigh Geometric(R-G)

15

θ

0

α

0

0

Exponential Geometric(E-E)

16

θ

0

α

β

0

Linear failure rate Geometric(LFR-G)

17

1

0

0

0

γ

Weibull (Weibull; 1951)

18

1

0

0

β

0

Rayleigh

19

1

0

α

0

0

Exponential

20

1

0

α

β

0

Linear failure rate(LFR)