brightstar {logcondens}

Bright star dataset used to illustrate log-concave density estimation

Description

Dataset that contains the data analyzed in Mizera and Koenker (2009, Section 5). The sample consists of measurements of radial and rotational velocities for the stars from the Bright Star Catalog, see Hoffleit and Warren (1991).

Usage

data(brightstar)

Format

A data frame with 9092 rows on the following 2 variables.

nr

Location of measurements.

rad

Measurements of radial velocities.

rot

Measurements of rotational velocities.

References

Duembgen, L. and Rufibach, K. (2009) Maximum likelihood estimation of a log–concave density and its distribution function: basic properties and uniform consistency. Bernoulli, 15(1), 40–68.

Hoffleit, D., Warren, W.H. (1991). The Bright Star Catalog. Yale University Observatory, New Heaven.

Mizera, I., Koenker, R. (2010). Quasi-concave density estimation. Ann. Statist., 38(5), 2998–3027.

Examples

# ---- load rotational velocity data ----
data(brightstar)

# ---- compute and plot log-concave estimate ----
# See also Figure 3 in Koenker & Mizera (2009)
x0 <- sort(brightstar[, 3])
res <- logConDens(x0, print = FALSE, smoothed = FALSE)
plot(res, which = "density")