On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components
Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Misra, Neeraj [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013transfer abstract |
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| Umfang: |
4 |
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| Übergeordnetes Werk: |
Enthalten in: Third dose of COVID-19 mRNA vaccine appears to overcome vaccine hyporesponsiveness in patients with cirrhosis - John, Binu V. ELSEVIER, 2022, Amsterdam |
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| Übergeordnetes Werk: |
volume:83 ; year:2013 ; number:6 ; pages:1567-1570 ; extent:4 |
| Links: |
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| DOI / URN: |
10.1016/j.spl.2013.03.002 |
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ELV032857616 |
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| 520 | |a Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). | ||
| 520 | |a Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). | ||
| 650 | 7 | |a Gamma distribution |2 Elsevier | |
| 650 | 7 | |a Usual stochastic order |2 Elsevier | |
| 650 | 7 | |a Reversed hazard rate order |2 Elsevier | |
| 650 | 7 | |a Majorization |2 Elsevier | |
| 650 | 7 | |a Hazard rate order |2 Elsevier | |
| 700 | 1 | |a Misra, Amit Kumar |4 oth | |
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10.1016/j.spl.2013.03.002 doi GBVA2013004000028.pica (DE-627)ELV032857616 (ELSEVIER)S0167-7152(13)00075-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.87 bkl Misra, Neeraj verfasserin aut On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components 2013transfer abstract 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). Gamma distribution Elsevier Usual stochastic order Elsevier Reversed hazard rate order Elsevier Majorization Elsevier Hazard rate order Elsevier Misra, Amit Kumar oth Enthalten in Elsevier Science John, Binu V. ELSEVIER Third dose of COVID-19 mRNA vaccine appears to overcome vaccine hyporesponsiveness in patients with cirrhosis 2022 Amsterdam (DE-627)ELV008609586 volume:83 year:2013 number:6 pages:1567-1570 extent:4 https://doi.org/10.1016/j.spl.2013.03.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.87 Gastroenterologie VZ AR 83 2013 6 1567-1570 4 045F 510 |
| spelling |
10.1016/j.spl.2013.03.002 doi GBVA2013004000028.pica (DE-627)ELV032857616 (ELSEVIER)S0167-7152(13)00075-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.87 bkl Misra, Neeraj verfasserin aut On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components 2013transfer abstract 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). Gamma distribution Elsevier Usual stochastic order Elsevier Reversed hazard rate order Elsevier Majorization Elsevier Hazard rate order Elsevier Misra, Amit Kumar oth Enthalten in Elsevier Science John, Binu V. ELSEVIER Third dose of COVID-19 mRNA vaccine appears to overcome vaccine hyporesponsiveness in patients with cirrhosis 2022 Amsterdam (DE-627)ELV008609586 volume:83 year:2013 number:6 pages:1567-1570 extent:4 https://doi.org/10.1016/j.spl.2013.03.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.87 Gastroenterologie VZ AR 83 2013 6 1567-1570 4 045F 510 |
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10.1016/j.spl.2013.03.002 doi GBVA2013004000028.pica (DE-627)ELV032857616 (ELSEVIER)S0167-7152(13)00075-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.87 bkl Misra, Neeraj verfasserin aut On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components 2013transfer abstract 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). Gamma distribution Elsevier Usual stochastic order Elsevier Reversed hazard rate order Elsevier Majorization Elsevier Hazard rate order Elsevier Misra, Amit Kumar oth Enthalten in Elsevier Science John, Binu V. ELSEVIER Third dose of COVID-19 mRNA vaccine appears to overcome vaccine hyporesponsiveness in patients with cirrhosis 2022 Amsterdam (DE-627)ELV008609586 volume:83 year:2013 number:6 pages:1567-1570 extent:4 https://doi.org/10.1016/j.spl.2013.03.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.87 Gastroenterologie VZ AR 83 2013 6 1567-1570 4 045F 510 |
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10.1016/j.spl.2013.03.002 doi GBVA2013004000028.pica (DE-627)ELV032857616 (ELSEVIER)S0167-7152(13)00075-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.87 bkl Misra, Neeraj verfasserin aut On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components 2013transfer abstract 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). Gamma distribution Elsevier Usual stochastic order Elsevier Reversed hazard rate order Elsevier Majorization Elsevier Hazard rate order Elsevier Misra, Amit Kumar oth Enthalten in Elsevier Science John, Binu V. ELSEVIER Third dose of COVID-19 mRNA vaccine appears to overcome vaccine hyporesponsiveness in patients with cirrhosis 2022 Amsterdam (DE-627)ELV008609586 volume:83 year:2013 number:6 pages:1567-1570 extent:4 https://doi.org/10.1016/j.spl.2013.03.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.87 Gastroenterologie VZ AR 83 2013 6 1567-1570 4 045F 510 |
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10.1016/j.spl.2013.03.002 doi GBVA2013004000028.pica (DE-627)ELV032857616 (ELSEVIER)S0167-7152(13)00075-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.87 bkl Misra, Neeraj verfasserin aut On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components 2013transfer abstract 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). Gamma distribution Elsevier Usual stochastic order Elsevier Reversed hazard rate order Elsevier Majorization Elsevier Hazard rate order Elsevier Misra, Amit Kumar oth Enthalten in Elsevier Science John, Binu V. ELSEVIER Third dose of COVID-19 mRNA vaccine appears to overcome vaccine hyporesponsiveness in patients with cirrhosis 2022 Amsterdam (DE-627)ELV008609586 volume:83 year:2013 number:6 pages:1567-1570 extent:4 https://doi.org/10.1016/j.spl.2013.03.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.87 Gastroenterologie VZ AR 83 2013 6 1567-1570 4 045F 510 |
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Enthalten in Third dose of COVID-19 mRNA vaccine appears to overcome vaccine hyporesponsiveness in patients with cirrhosis Amsterdam volume:83 year:2013 number:6 pages:1567-1570 extent:4 |
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Third dose of COVID-19 mRNA vaccine appears to overcome vaccine hyporesponsiveness in patients with cirrhosis |
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Third dose of COVID-19 mRNA vaccine appears to overcome vaccine hyporesponsiveness in patients with cirrhosis |
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on comparison of reversed hazard rates of two parallel systems comprising of independent gamma components |
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On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components |
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Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). |
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Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). |
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Let X 1 , … , X n ( Y 1 , … , Y n ) be independent random variables such that X i ( Y i ) follows the gamma distribution with shape parameter α and mean α λ i ( α μ i ) , α > 0 , λ i > 0 ( μ i > 0 ), i = 1 , … , n . Let λ = ( λ 1 , … , λ n ) , μ = ( μ 1 , … , μ n ) and let r ̃ n : n ( λ ; x ) ( r ̃ n : n ( μ ; x ) ) denote the reversed hazard rate of max { X 1 , … , X n } ( max { Y 1 , … , Y n } ). In this note we show that if λ weakly majorizes μ then r ̃ n : n ( λ ; x ) ≥ r ̃ n : n ( μ ; x ) , ∀ x > 0 , thereby strengthening the results of Dykstra et al. (1997), and Lihong and Xinsheng (2005). |
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