Compute exact partition function

For Cayley, Hamming, and Kendall distances, computationally tractable functions are available for the exact partition function.

Usage

compute_exact_partition_function(
  alpha,
  n_items,
  metric = c("cayley", "hamming", "kendall")
)

Arguments

alpha

Dispersion parameter.

n_items

Number of items.

metric

Distance function, one of "cayley", "hamming", or "kendall".

Value

The logarithm of the partition function.

References

There are no references for Rd macro \insertAllCites on this help page.

See also

Other partition function: estimate_partition_function(), get_cardinalities()

Examples

compute_exact_partition_function(
  alpha = 3.4, n_items = 34, metric = "cayley"
)
#> [1] 85.60544

compute_exact_partition_function(
  alpha = 3.4, n_items = 34, metric = "hamming"
)
#> [1] 85.286

compute_exact_partition_function(
  alpha = 3.4, n_items = 34, metric = "kendall"
)
#> [1] 65.91866