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Table 4 Characteristics of the population density curve estimates from various thresholds stratified by age groups

From: Evaluation of threshold selection methods for adaptive kernel density estimation in disease mapping

Desirable characteristics

Density curve characteristics

Age groups

35–44

45–54

55–64

65+

35+

Most

Least

Density curve is smoother, and fluctuations in the tail ceases to exist

h ns

h ns

h ns

h ns

500

Median

Median

Median

Median

h ns

500

500

500

500

1000

Density curve closely matches to the actual gamma distribution and contains fluctuations at the tail

100

100

100

100

h pi

h scv

The highest density estimates of density curve is greater than that of the actual gamma distribution, and the density curve contains high fluctuations at the tail

50

50

50

50

50

h pi

h pi

h pi

h pi

100

h scv

h scv

h scv

h scv

 

Density curve is smoother and difficult to distinguish between the mode and tail

1000

1000

1000

1000

Median

Density curve is flat and cannot distinguish between the mode and tail

5000

5000

5000

5000

5000

10,000

10,000

10,000

10,000

10,000