Research Article

An Extended Cosine Generalized Family of Distributions for Reliability Modeling: Characteristics and Applications with Simulation Study

Table 1

Chronological review on trigonometric functions based on G families and distributions.

S. no.Introducer(s) (year)Model based on trigonometric function

1Raab and Green (1961)Derived a cosine distribution [8]
2Nadarajah and Kotz (2006)Derived the beta trigonometric distribution [9]
3Chakraborty et al. (2012)Explored the sin-skew logistic distribution [10]
4Souza (2015)Suggested new trigonometric classes of probabilistic distributions [1]
5Chesneau et al. (2019)Explored the cosine sine (CS) distribution [11]
6Souza et al. (2019)Derived mathematical characteristics for cos-G class [12]
7Mahmood et al. (2019)Presented a new sine-G family of distributions [13]
8Chesneau et al. (2020)Proposed the cosine geometric distribution [14]
9Chesneau et al. (2020)Deduced sine Kumaraswamy-G family of distribution [15]
10Al-Babtain et al. (2020)Introduced sine Topp–Leone-G family [16]
11Ali (2021)Worked on sine power Lomax model [17]
12Alkhairy et al. (2021)Introduced the arctangent-X family of distributions [18]
13Nagarjuna et al. (2021)Worked on the accuracy of the sine power Lomax model [19]
14Nagarjuna et al. (2021)Presented Kumaraswamy generalized power Lomax distribution [20]
15Ahmed et al. (2021)Presented generalized power Akshaya distribution with applications [21]
16Muse et al. (2021)Introduced the Tan log-logistic distribution [22]
17Almetwally (2021)Presented odd Weibull inverse Topp–Leone distribution [23]
18Hassan et al. (2021)Presented Kumaraswamy inverted Topp–Leone distribution [24]
19Almetwally et al. (2021)Presented Marshall–Olkin alpha Power-X distribution [2527]
20Almongy et al. (2021)Presented extended odd Weibull Rayleigh [28]
21Al-Babtain et al. (2021)Presented the flexible burr-XG family [29]