36 citations · 124 across the 36 of their papers we have counts for
41 papers
The Multinomial Allocation Model and the Random Box Load
Serik Sagitov
We revisit the random allocation model in which balls are independently placed into boxes with probabilities . A classical asymptotic result due to Kolchin,…
A multitype Galton-Watson model for rejuvenating cells
Serik Sagitov, Lotta Eriksson, Marija Cvijovic
We employ the framework of multitype Galton-Watson processes to model a population of dividing cells. The cellular type is represented by its biological age, defined as the count o…
Galton-Watson theta-processes in a varying environment
Serik Sagitov, Yerakhmet Zhumayev
We consider a special class of Galton-Watson theta-processes in a varying environment fully defined by four parameters, with two of them being fixed over time , and the…
Theta-positive branching in varying environment
Serik Sagitov, Alexey Lindo, Yerakhmet Zhumayev
Branching processes in a varying environment encompass a wide range of stochastic demographic models, and their complete understanding in terms of limit behaviour poses a formidabl…
Counting unique molecular identifiers in sequencing using a multitype branching process with immigration
Serik Sagitov, Anders Ståhlberg
Detection of extremely rare variant alleles, such as tumour DNA, within a complex mixture of DNA molecules is experimentally challenging due to sequencing errors. Barcoding of targ…
Critical branching as a pure death process coming down from infinity
Serik Sagitov
We consider the critical Galton-Watson process with overlapping generations stemming from a single founder. Assuming that both the variance of the offspring number and the average…