Table 1.1. Variable Types
Variable Type | Example |
Qualitative | |
Binary | Sex |
Categorical (Unordered, Nominal) | Territory (e.g., state/province) in which an insured resides |
Ordered Category (Ordinal) | Claimant satisfaction (five point scale ranging from 1=dissatisfied to 5 =satisfied) |
Quantitative | |
Continuous | Policyholder's age, weight, income |
Discrete | Amount of deductible |
Count | Number of insurance claims |
Combinations of Discrete and Continuous | Policy losses, mixture of 0's (for no loss) and positive claim amount |
Interval Variable | Driver Age: 16-24 (young), 25-54 (intermediate), 55 and over (senior) |
Circular Data | Time of day measures of customer arrival \hline |
Multivariate Variable | |
High Dimensional Data | Characteristics of a firm purchasing worker's compensation insurance (location of plants, industry, number of employees, and so on) |
Spatial Data | Longitude/latitude of the location an insurance hailstorm claim |
Missing Data | Policyholder's age (continuous/interval) and ``-99'' for ``not reported,'' that is, missing |
Censored and Truncated Data | Amount of insurance claims in excess of a deductible |
Aggregate Claims | Losses recorded for each claim in a motor vehicle policy. |
Stochastic Process Realizations | The time and amount of each occurrence of an insured loss |
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Table 1.3. 2010 Average Severity DistributionMinimum | First Quartile | Median | Mean | Third Quartile | Maximum |
167 | 2,226 | 4,951 | 56,330 | 11,900 | 12,920,000 |