2004
DOI: 10.1016/s0378-3758(03)00083-1
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On estimating exponential parameters with general type II progressive censoring

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Cited by 64 publications
(15 citation statements)
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“…Several authors obtained the recurrence relation for progressively type-II right censored order statistics for different distributions such as Cohin (1963), Mann [ (1971, Thomas and Wilson (1972), Arnold (1992), Balakrishnan et al (2012), Nikulin and Haghighi (2006), Haghighi (2011), Joshi (1978), Balakrishnan and Malik (1986), Arnold et al (1992), Viveros and Balakrishnan (1994), Balakrishnan and Sandhu (1995), Aggarwala and Balakrishnan (1996), Balakrishnan and Aggarwala (1998), Balakrishnan andSultan (1998), Abd El-Baset andMohammed (2003), David and Nagaraja (2003), Fernandez (2004), Balakrishnan et al (2004), Sultan et al (2006), Mahmoud et al (2006), Balakrishnan (2007), Bal-akrishnan et al (2011), Balakrishnan andSaleh (2013). The moments of order statistics have been recursively derived, see Salah et al (2008), Kumar and Sanku (2017) and , for a complete sample.…”
Section: Introductionmentioning
confidence: 99%
“…Several authors obtained the recurrence relation for progressively type-II right censored order statistics for different distributions such as Cohin (1963), Mann [ (1971, Thomas and Wilson (1972), Arnold (1992), Balakrishnan et al (2012), Nikulin and Haghighi (2006), Haghighi (2011), Joshi (1978), Balakrishnan and Malik (1986), Arnold et al (1992), Viveros and Balakrishnan (1994), Balakrishnan and Sandhu (1995), Aggarwala and Balakrishnan (1996), Balakrishnan and Aggarwala (1998), Balakrishnan andSultan (1998), Abd El-Baset andMohammed (2003), David and Nagaraja (2003), Fernandez (2004), Balakrishnan et al (2004), Sultan et al (2006), Mahmoud et al (2006), Balakrishnan (2007), Bal-akrishnan et al (2011), Balakrishnan andSaleh (2013). The moments of order statistics have been recursively derived, see Salah et al (2008), Kumar and Sanku (2017) and , for a complete sample.…”
Section: Introductionmentioning
confidence: 99%
“…The R i 's, m and r are prespecified integers which must satisfy the conditions 0 ≤ < ≤ , 0 ≤ ≤ −1 = + 1, … , − 1 with = − and = −1 − 1, (see Arturo and Fernandez [4]). If the failure times are based on an absolutely continuous distribution function (cdf) F with probability density function (pdf) f, the joint probability density function based on GPTIICOS failure times +1: :, , +2: :, , … , : :, , is given by Through out this paper, we introduce recurrence relations among single and product moments based on GPTIICOS.…”
Section: Introductionmentioning
confidence: 99%
“…This censoring scheme is extremely useful in both industrial life testing and clinical settings. The numerous articles dealing with inference procedures under this censoring scheme have been found in the journals (e.g., Balakrishnan & Sandhu, 1996;Fernández, 2004;Kim & Han, 2009;Barot & Patel, 2014).…”
Section: Introductionmentioning
confidence: 99%