Estimation of stress–strength reliability based on censored data and its evaluation for coating processes

Reliability Estimation of Burr Type III Distribution under Improved Adaptive Progressive Censoring with Application to Surface Coating

“…For comparson and analysis, 10000 cycles of simulations are repeated for the whole process. We consider values (𝛼, 𝛽, 𝜆) as (3.5, 2, 4) and (2,1,6) to provide values of SSRe as 0.533 (𝑆𝑆𝑅𝑒 1 ) and 0.750 (𝑆𝑆𝑅𝑒 2 ), respectively. Two different 𝑇 𝑖 ; 𝑖 = 1,2 values: 𝑇 1 = 0.7, 𝑇 2 = 1.2 and 𝑇 1 = 1.2, 𝑇 2 = 2.5are taken for both S-S variables.…”

“…Therefore, a series of the splashing data of silicon oil drops is analyzed here to elucidate the practical application of the model we study in the proceeding sections. This data originaly reported by Asadi and Panahi [2]. The glass surface (GS) and Teflon surface (TS) with sample sizes 𝑛 1 = 𝑛 2 = 40 are considered to acquire the SSRe estimates.…”

“…This reliability system is introduced by Church and Harris [9], and since then statistical inference of SSRe model has been continuing to be studied under different assumptions. For some recent studies about this topic, one can see, Bhattacharyya [6], Rao et al [22], Akgul and Senoglu [1], Bai et al [5], Asadi and Panahi [2], De La Cruz [11] and Demiray and Kizilaslan [12]. Also, one of the important applications of this reliability model is to evaluate the strength of coated microlayers on the surfaces of mechanical devices.…”

Estimation of stress‐strength reliability for beta log Weibull distribution using progressive first failure censored samples

“…Table 5 provides a real data set (Data set 1), which represents the droplet impact velocities that splashing occurs under partially wettable surface (Teflon) and it can be used to evaluate the reliability model of spraying process. This data set was provided and first analyzed by Asadi and Panahi 38 . In this section, we first test whether the BLWD fits this real data set and compared the fitting effect with two distribution, namely, two‐parameter bathtub‐shaped distribution (BSD) and Weibull distribution (WD).…”

“…This data set was provided and first analyzed by Asadi and Panahi. 38 In this section, we first test whether the BLWD fits this real data set and compared the fitting effect with two distribution, namely, two-parameter bathtub-shaped distribution (BSD) and Weibull distribution (WD). The CDF of BSD and WD are given by.…”