Multiple Comparisons with More than One Control for Exponential Location Parameters Under Heteroscedasticity

Maurya, Vishal; Goyal, Anju; Gill, Amar Nath

doi:10.1080/03610918.2010.549988

Cited by 18 publications

(23 citation statements)

References 8 publications

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“…Note thatW Xi 's are distributed as F distribution with 2 and 2m i − 2 degrees of freedom andW Yj 's are also distributed as F distribution 2 and 2n j − 2 degrees of freedom; see [12]. In addition,W Xi 's and W Yj 's are independent.…”

Section: Notation and Necessary Backgroundsmentioning

confidence: 99%

“…When m i = n j = n for all i and j, [15] and [12] also proposed two-stage SCIs for θ − µ j . However, they used d in their SCIs instead ofC Xi and C Yj .…”

Section: Remarkmentioning

confidence: 99%

“…, Y jnj denote random samples of sizes m i and n j from the i-th treatment and j-th control, respectively. Let [15] and [12]. Let F −1…”

Section: Notation and Necessary Backgroundsmentioning

confidence: 99%

“…In Section 5, we discuss constructing SCIs for comparing the treatment groups with the best control. In Section 6, via a simulation study, we compare the proposed SCIs with the ones that were proposed by [12], [5], and [10] in terms of CP and average volume (AV). Simulation results show that the proposed SCIs have higher CP and smaller AV in most cases.…”

Section: Introductionmentioning

confidence: 99%

“…The results of simulation indicated that the proposed SCIs are too conservative. Maurya et al [12] proposed one-sided and two-sided conservative SCIs for θ i − µ j , i = 1, . .…”

Section: Introductionmentioning

confidence: 99%

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A note on the multiple comparisons of exponential location parameters with several controls under heteroscedasticity

Kharrati-Kopaei¹,

Koopaei²

2016

HJMS

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Several researchers have addressed the problem of constructing simultaneous confidence intervals (SCIs) for comparing exponential location parameters with a control or controls under heteroscedasticity when sample sizes are equal or unequal. They usually used simulation-based inference procedures or Lam's technique that leads to conservative SCIs. In this paper, we present a set of SCIs for comparing exponential location parameters with a control, controls and the best control under heteroscedasticity when sample sizes are possibly unequal. Our method is not a simulation-based inference procedure and our results show that the proposed SCIs have some advantages over others.

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Section: Notation and Necessary Backgroundsmentioning

confidence: 99%

“…When m i = n j = n for all i and j, [15] and [12] also proposed two-stage SCIs for θ − µ j . However, they used d in their SCIs instead ofC Xi and C Yj .…”

Section: Remarkmentioning

confidence: 99%

“…, Y jnj denote random samples of sizes m i and n j from the i-th treatment and j-th control, respectively. Let [15] and [12]. Let F −1…”

Section: Notation and Necessary Backgroundsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The results of simulation indicated that the proposed SCIs are too conservative. Maurya et al [12] proposed one-sided and two-sided conservative SCIs for θ i − µ j , i = 1, . .…”

Section: Introductionmentioning

confidence: 99%

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