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Research Article

An extension of Rayleigh distribution and applications

, & | (Reviewing editor)
Article: 1622191 | Received 29 Jan 2019, Accepted 19 May 2019, Published online: 31 May 2019

Figures & data

Figure 1. PDF of RRD for various values of σ and β.

Figure 1. PDF of RRD for various values of σ and β.

Figure 2. Plots of CDF of RRD for various values of σ and β.

Figure 2. Plots of CDF of RRD for various values of σ and β.

Figure 3. The survival function of RRD for various values of σ and β.

Figure 3. The survival function of RRD for various values of σ and β.

Figure 4. The hazard functions of RRD for various values β and σ.

Figure 4. The hazard functions of RRD for various values β and σ.

Table 1. MLE’s, average bias and average root mean square error at β = 1.5, 2, 2.5, 3 and σ = 1.5

Table 2. MLE’s, average bias and average root mean square error σ = 1, 1.25, 1.5, 1.75 and β = 2

Table 3. MLE’s, average bias and average root mean square error for σ = 2.5, 3, 3.5, 4 and β = 1.5, 2, 2.5, 3

Table 4. MLE’s, average bias and average root mean square error σ = 1.5, 2.5, 3.5, 4.5 and β = 1.5, 2.5, 3.5, 4.5

Table 5. ML estimates with goodness-of-fit criteria for Dataset 1

Table 6. ML estimates with goodness-of-fit criteria for Dataset2

Table 7. ML estimates with goodness-of-fit criteria for Dataset3

Table 8. ML estimates with goodness-of-fit criteria for Dataset4