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American Journal of Mathematical and Management Sciences Volume 38, 2019 - Issue 1
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Original Articles

Statistical Inference for Lognormal Distribution with Type-I Progressive Hybrid Censored Data

Tanmay SenDepartment of Mathematics, Indian Institute of Technology Patna, Bihar, India
,
Sukhdev SinghDepartment of Mathematics, Indian Institute of Technology Patna, Bihar, IndiaCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0001-6282-4281
ORCID Icon &
Yogesh Mani TripathiDepartment of Mathematics, Indian Institute of Technology Patna, Bihar, India
Pages 70-95 | Received 02 Aug 2017, Accepted 01 Jun 2018, Published online: 10 Oct 2018

Figures & data

Table 1. Average estimates and MSE values (in parenthesis) of MLEs and AMLEs.

Table 2. Asymptotic confidence intervals and associated CPs and AILs.

Table 3. Bayes estimates and MSE values (in parenthesis) of μ and τ.

Table 4. HPD interval estimates and associated CPs and AILs.

Table 5. Point predictive estimates.

Table 6. Interval predictive estimates.

Figure 1. Empirical scaled TTT transform for data set 1.

Figure 1. Empirical scaled TTT transform for data set 1.

Table 7. Goodness of fit tests for different distributions.

Table 8. Maximum likelihood and Bayes estimates of μ and τ for real data sets.

Table 9. Asymptotic confidence and HPD interval estimates.

Table 10. Point prediction.

Table 11. Interval prediction.

Figure 2. Empirical scaled TTT transform for data set 2.

Figure 2. Empirical scaled TTT transform for data set 2.

Table 12. Optimal censoring schemes and associated values of the criterion ∫01Var(ln X̂p)dp.

Table 13. Optimal censoring schemes based on minimization of TC criterion.

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