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1964
Until recently, the credibility procedures used by casualty actuaries, and their theoretical justification, were developed apart from, and in isolation from the methods used by statisticians.
1964
In practical applications of the collective theory of risk one is very often confronted with the problem of making some kind of assumptions about the form of the distribution functions underlying the frequency as well as the seventy of claims Lundberg's [6] and Cramer's [3] approach are essentially based upon the hypothesis that the number of claims occurring in a certain period obey the Poisson distribution whereas for the conditional distributi
1964
Acute powers of observation are hardly required to recognize that the casualty actuarial fraternity is divided, not sharply but nevertheless clearly, between "pure" actuaries and "lay" actuaries.
1964
Mr. Hewitt's comment on the statistics of causation goes to the root of "natural laws." I stand corrected! We would have to understand the First Cause to be able to understand how ultimate particles of matter act in order to predict with certainty whether or not our "natural laws" would be followed in any specific case.
1964
This review is directed to an attitude summarized in the paper in the following paragraph
"All probability and all applications of statistical data are based on partial ignorance. If we knew just how a pair of dice were imperfect, were held, and thrown, and blown, and how the surface on which they bounced reacted, we could predict from tried and true engineering formulas just how the dice would fall.
1964
This paper is written for actuarial students, for insurance workers in general, and for non-insurance statisticians. Reference is made to statistical text books in general for much of the elementary mathematics, otherwise the paper is complete in itself.
1964
We all know what to expect when we read a paper by Mr. Dropkin. We expect to get some new ideas, some interesting information and a careful, precise and correct presentation which mixes both the practical and the theoretical. In his paper, Size of Loss Distributions in Workmen's Compensation Insurance, we are not disappointed.
1964
Mr. Dropkin is to be congratulated once again for another fine contribution to the Society. His paper, Size of Loss Distributions in Workman's Compensation Insurance, represents a forward step toward establishing an appropriate mathematical model which would adequately describe the distribution of losses by size.
1964
Reinsurance
1964
The celebration of the Casualty Actuarial Society's Golden Jubilee at first seemed an excellent occasion for discussing certain aspects of credibility theory. There is a pertinent reason for that. Credibility theory is a branch of actuarial science created and developed by our American colleagues with the object of justifying the techniques of rating non-life risks.
1964
Writing in 1941, Mr. Arthur L. Bailey, probably the most profound contributor to casualty actuarial theory the United States has produced, observed as follows with regard to his entry into the actuarial profession:
"The first year or so I spent proving to myself that all of the fancy actuarial procedures of the casualty business were mathematically unsound.
1964
One of the features of the Casualty Actuarial Society's Fiftieth Anniversary celebration in November 1964, was a panel discussion on Motor Insurance in Foreign Countries by five noted European actuaries
1964
At the end of 1963 health insurance claim reserves and liabilities held by companies on this continent totaled well over one billion dollars. This paper seeks to study the problems involved in calculating these reserves and liabilities and to describe the methods in use. It takes account of methods used by thirty-one companies.
1964
Mr. Wittick's article is an important addition to our "Proceedings" as it is the first published information on this coverage, which I prefer to call Basic Bodily Injury Accident Benefits.
1964
In April 1960, a select committee was appointed by the Legislature of the Province of Ontario "to examine, investigate, enquire, study, and report on all matters relating to persons who suffer financial loss as the result of motor vehicle." In the first interim report made in March 1961, they dealt at considerable length with the various situations which exist in different provinces and states and in particular covered in detail the system used
1964
On this, the Jubilee of the Casualty Actuarial Society, it is tempting to assume that the fifty year period, 1914 to 1964, represents the whole extent of actuarial studies in property and liability insurance. However, many interesting studies in this field were made by actuaries prior to 1914 and it is thought that some short account of these studies should find a place in the "Proceedings" of the Society.
1963
Assurance companies usually divide their portfoho into a series of tariff groups. This division is necessary for a comparison between the claims and the available premiums in the different tariff groups. By comparing these figures the company is able to verify if the tariff is appropriate or if a modification in hne with the empirical data is to be recommended.
1963
In the classical definition skewness is departure from symmetry. It was therefore natural to measure skewness by using a normalized third moment [see abstract]. This condensed measure, however, is not refined enough to be used as an operational instrument for studying various function which might be used to describe actual claim distributions.
1963
In his paper "Actuarial Activity in General Insurance in the Northern Countries of Europe" L. Wilhelmsen 1) gives amongst other things an account of the work carried on by Centralstdllet flit nordisk omsesidig Brandfiirsdkringsstatistik (CNOB, the Northern Central Office for Fire Insurance Statistics from Mutual Companies).
1963
Mr. Carlson has given you a rather complete picture of statistical developments in casualty insurance. His picture was a general overall view of the business and its statistical problems. It would appear that it can be discussed only by describing, in somewhat more detail, one or more aspects of that picture.
1963
The no-claim bonus problem has given rise to a considerable amount of discussion throughout the whole world. There is quite a difference of opinion among the actuaries and other experts concerned in this field and several exchanges of view have taken place the last few years. The ASTIN section of the Permanent Committee has been well aware of this fact and it has devoted one Colloquium to this subject and discussed it at others.
1963
In preparing the notes on the subjects for discussion at the 4th ASTIN Colloquium at Trieste [i] I used some of the material which formed the basis of a talk given to the Scandinavian Actuarial Societies in September 1962.
1963
The classical treatment of stochastic models in non-life insurance is to first derive the well-known Poisson distribution by considering the question of how many claims take place during a definite period. In deriving this distribution the following three assumptions are made: ( I) The population studied is homogeneous. (II) The occurrence of a claim is a rare event, viz.
