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sokura
November 18th 2013, 12:41 AM
Does anyone else often see people say or use 1084 as the standard for full credibility at auto companies? I was wondering why it seems that a lot of people say 1084 instead of 1082. After all (1.645/0.05)^2 = 1082 where 1.645 is the z-score in your normal table corresponding to the 90% percentile and 0.05 being the tolerable error you accept.

sokura
May 3rd 2018, 07:31 PM
Found it.
https://www.casact.org/pubs/proceed/proceed68/68175.pdf
It is probably from this ancient paper.
It appears that the algebra along the way to solve for the standard for full credibility, an expansion was used to approximate the standard.
The slight difference it produces is what yields to the 1084.
Maybe actuaries of the past just took this paper's result and started spreading the word to use 1084.

Towanda
July 2nd 2018, 07:53 AM
Found it.
https://www.casact.org/pubs/proceed/proceed68/68175.pdf
It is probably from this ancient paper.
It appears that the algebra along the way to solve for the standard for full credibility, an expansion was used to approximate the standard.
The slight difference it produces is what yields to the 1084.
Maybe actuaries of the past just took this paper's result and started spreading the word to use 1084.

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