. Control of LH secretory-burst frequency and interpulse-interval regularity in women. Am J Physiol Endocrinol Metab 285: E938-E948, 2003; 10.1152/ajpendo.00133. 2003.-Hypothalamic neurons generate discrete bursts of gonadotropin-releasing hormone (GnRH) and thereby pulses of luteinizing hormone (LH) at randomly timed intervals centered on a probabilistic mean frequency. We tested the hypothesis that physiological mechanisms govern not only the number but also the stochastic dispersion of the GnRH/LH pulse-renewal process in humans; for example, in young women in the early (EF) and late (LF) follicular and midluteal (ML) phases of the menstrual cycle (n ϭ 18) and in postmenopausal individuals (PM, n ϭ 16). To this end, we quantify stochastic interpulse variability by way of the orderindependent, two-parameter Weibull renewal process (Keenan DM and Veldhuis J. Am J Physiol Regul Integr Comp Physiol 281: R1917-R1924, 2001) and the sequence-specific, modelfree approximate-entropy statistic (ApEn) (Pincus SM. Proc Natl Acad Sci USA 88: 2297-2301, 1991. Statistical testing unveiled 1) reduced probabilistic mean LH secretory-burst frequency (lower of the Weibull distribution) in ML compared with each of EF, LF, and PM (P Ͻ 0.001); 2) quantifiably more regular LH interburst-interval sets (elevated ␥ of the Weibull density) in PM than in each of EF, LF, and ML (P Ͻ 0.01); 3) uniquely prolonged latency to maximal LH secretion within individual secretory bursts in ML (P Ͻ 0.01); and 4) comparably mean random, sequential LH interburstinterval and mass values (normalized ApEn) among the distinct hormonal milieus. From these data, we postulate that sex steroids and age determine daily LH secretory-burst number, quantifiable pulse-renewal variability, and secretory-waveform evolution.age; reproduction; human; female; pituitary; hypothalamus; leuteinizing hormone DIRECT APPRAISAL of hypothalamic gonadotropin-releasing hormone (GnRH) pulse-generator activity is not feasible in humans. However, the timing of discrete luteinizing hormone (LH) pulses in the peripheral circulation provides a surrogate marker of GnRH release in the setting of normal gonadotrope responsivity. The basis for this inference includes the strong concordance between episodic GnRH and LH release in the rodent, lagamorph, ruminant, and primate (3,18,20,27,31,36,49), the consistent correspondence between arcuate nucleus electrophysiological correlates of GnRH outflow and individual pulses of LH in jugular venous blood in the monkey and rat (9, 46), and the rapid suppressibility of peripheral LH pulses by immunoneutralization of GnRH or pharmacological blockade of GnRH reception (35,37).Synchronous GnRH neuronal firing and attendant LH secretory bursts recur at random intervals with no serial correlation of successive waiting times (1, 2, 12, 13). We recently highlighted the utility of quantifying the stochastic properties of the pulse-renewal process by the two-parameter Weibull probability distribution (10, 11). Unlike the derivative (1-parameter) Poisson...