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Multilingual Demographic Dictionary, second unified edition, English volume

Difference between revisions of "Probability of survival"

Multilingual Demographic Dictionary, second unified edition, English vol.
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(Eugen Grebenik et al., first edition 1958)
(Etienne van de Walle et al., second 1982 edition)
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{{TextTerms|S=431|P=43|Ed=I|CompleteIndexTerm=(PROBABILITY of survival)| content=
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{{TextTerms|S=431|P=43|Ed=II|CompleteIndexTerm=(PROBABILITY of survival)| content=
 
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{{NewLineT|S=431|N=4}} {{
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 +
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 +
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 +
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{{NewLineT|S=431|N=6}} {{
 
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Lang=en|Lang2=ar|Lang3=cs|Lang4=de|Lang5=es|Lang6=fr|Lang7=it|Lang8=ja|Lang9=pt|Lang10=ru|Lang11=zh}}
  
 
{{Gallery
 
{{Gallery
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| height=20
 
| height=20
 
| lines=3
 
| lines=3
|431_1_1_en_I Mortality table.ogg|'''mortality table'''  
+
|431_1_1_en_II Probability of dying.ogg|'''probability of dying'''  
|431_1_2_en_I Life table.ogg|'''life table'''  
+
|431_1_2_en_II Probability of death.ogg|'''probability of death'''  
|431_2_1_en_I Life table function.ogg|'''life table function'''  
+
|431_2_1_en_II Annual death probability.ogg|'''annual death probability'''  
|431_3_1_en_I Survivorship function.ogg|'''survivorship function'''  
+
|431_3_1_en_II Quinquennial death probability.ogg|'''quinquennial death probability'''  
|431_4_1_en_I Survivor.ogg|'''survivor'''  
+
|431_4_1_en_II Instantaneous death rate.ogg|'''instantaneous death rate'''  
|431_5_1_en_I Radix.ogg|'''radix'''  
+
|431_4_2_en_II Force of mortality.ogg|'''force of mortality'''  
|431_5_2_en_I Root.ogg|'''root'''  
+
|431_6_1_en_II Probability of survival.ogg|'''probability of survival'''  
|431_6_1_en_I Attrition.ogg|'''attrition'''
+
|431_7_1_en_II Survival ratio.ogg|'''survival ratio'''  
|431_7_1_en_I Probability of survival.ogg|'''probability of survival'''  
 
 
}}
 
}}
  
 
<noinclude>
 
<noinclude>
[[en-I:probability of survival]] [[ar-I:احتمال البقاء  (باق)]] [[de-I:Überlebenswahrscheinlichkeit]] [[es-I:probabilidad de supervivencia]] [[fi-I:eloonjäämistodennäköisyys]] [[fr-I:probabilité de survie]] [[it-I:probabilità di sopravvivenza]] [[pl-I:dożycia prawdopodobieństwo]] [[pt-I:PROBABILIDADE de vida]] [[ru-I:Вероятность дожития]]  
+
[[en-II:probability of survival]] [[ar-II:إحتمال التعمير]] [[cs-II:pravděpodobnost dožití]] [[de-II:Überlebenswahrscheinlichkeit]] [[es-II:probabilidad de sobrevivencia]] [[fr-II:probabilité de survie]] [[it-II:probabilità di sopravvivenza]] [[ja-II:生存確率]] [[pt-II:probabilidade de sobrevivência]] [[ru-II:Вероятность дожития]] [[zh-II:存活概率]]  
 
</noinclude>
 
</noinclude>
 
<noinclude>
 
<noinclude>
[[Category:Term of the first edition of the multilingual demographic Dictionary]]
+
[[Category:Term of the second edition of the multilingual demographic Dictionary]]
 
[[Category:Mortality and morbidity]]
 
[[Category:Mortality and morbidity]]
 
[[Category:43]]
 
[[Category:43]]
 
</noinclude>
 
</noinclude>

Revision as of 09:21, 9 January 2010

Probability of survival  (PROBABILITY of survival)


Probabilities of dying 1 or death probabilities 1 are used to study in detail the mortality of a period or of a cohort. They are the probabilities that an individual of exact age x will die before exact age x + n, and are represented by the symbol nqx. If n = 1, we talk about annual death probabilities 2; if n = 5, about quinquennial death probabilities 3. The instantaneous death rate 4, or as it is occasionally called the force of mortality 4, is the limit of the nqx value as n tends to zero. The projective mortality probability 5★ is the probability that individuals of the same cohort or group of cohorts died between two January 1st. The name of this probability comes from its use in the calculation of population projections. It is also equal to 1-Lx+n/Lx, where Lx is the person-years lived by the stationary population from exact age x to exact age x+n. The complement to one of the probability of dying from exact age x to exact age x + n is the probability of survival 6 over this interval. In the preparation of population projections, we use survival ratios 7; they represent the probability that individuals of the same birth cohort or group of cohorts will still be alive n years later.

  • 1. The probability of death between age x and x + n is defined as the ratio of deaths between ages x and x+n to the number of survivors at exact age x. It is not to be confused with the central death rate, the ratio of deaths between ages x and x+n to the mean population alive at that age. The central death rate is written nmx .
  • 6. The probability of survival from age x to age x+n is written npx .
  • 7. A survival ratio is the complement to one of the projective mortality probability. Individuals in the cohorts do not have the same age and therefore are not at the same risk of dying.

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