On the upper bound of the number of real roots of a random algebraic equation with infinite variance. II

Authors:
G. Samal and M. N. Mishra

Journal:
Proc. Amer. Math. Soc. **44** (1974), 446-448

MSC:
Primary 60G55; Secondary 92A10

DOI:
https://doi.org/10.1090/S0002-9939-1974-0438473-5

MathSciNet review:
0438473

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Let be the number of real roots of where 's are independent random variables identically distributed with a common characteristic function is a positive constant, are nonzero real numbers such that . Then

(i) ;

(ii) ;

(iii) .

**[1]**J. E. A. Dunnage,*The number of real zeros of a class of random algebraic polynomials*. II, Quart. J. Math. Oxford Ser. (2)**21**(1970), 309-319. MR**43**#1239. MR**0275485 (43:1239)****[2]**G. Samal and M. N. Mishra,*On the upper bound of the number of real roots of a random algebraic equation with infinite variance*, J. London Math. Soc.**6**(1973), 598-604. MR**0438472 (55:11384a)****[3]**-,*On the lower bound of the number of real roots of a random algebraic equation with infinite variance*. III, Proc. Amer. Math. Soc.**39**(1973), 184-189. MR**0315786 (47:4335)**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
60G55,
92A10

Retrieve articles in all journals with MSC: 60G55, 92A10

Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1974-0438473-5

Keywords:
Random variables,
infinite variance,
real roots,
random algebraic equations

Article copyright:
© Copyright 1974
American Mathematical Society