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Volumn 56, Issue 4 II, 2007, Pages 2121-2129

Log-shifted gamma approximation to lognormal sum distributions

Author keywords

Approximation; Interference; Lognormal sum; Outage probability

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CURVE FITTING; ITERATIVE METHODS; PROBABILITY DENSITY FUNCTION; RANDOM VARIABLES;

EID: 34547897682     PISSN: 00189545     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVT.2007.897662     Document Type: Article
Times cited : (33)

References (20)
  • 1
    • 84887135566 scopus 로고
    • The sum of log-normal probability distributions in scatter transmission systems
    • Mar
    • L. F. Fenton, "The sum of log-normal probability distributions in scatter transmission systems," IRE Trans. Commun., vol. CS-8, no. 3, pp. 57-67, Mar. 1960.
    • (1960) IRE Trans. Commun , vol.CS-8 , Issue.3 , pp. 57-67
    • Fenton, L.F.1
  • 2
    • 0017468342 scopus 로고
    • Generalized Gram-Charlier series with application to sum of lognormal variates
    • Mar
    • D. Schleher, "Generalized Gram-Charlier series with application to sum of lognormal variates," IEEE Trans. Inf. Theory, vol. IT-23, no. 2, pp. 275-280, Mar. 1977.
    • (1977) IEEE Trans. Inf. Theory , vol.IT-23 , Issue.2 , pp. 275-280
    • Schleher, D.1
  • 3
    • 0020180746 scopus 로고
    • On the distribution function and moments of power sums with log-normal components
    • Sep
    • S. Schwartz and Y. S. Yeh, "On the distribution function and moments of power sums with log-normal components," Bell Syst. Tech. J., vol. 61, no. 7, pp. 1441-1462, Sep. 1982.
    • (1982) Bell Syst. Tech. J , vol.61 , Issue.7 , pp. 1441-1462
    • Schwartz, S.1    Yeh, Y.S.2
  • 4
    • 0028583468 scopus 로고
    • Comparison of methods of computing correlated lognormal sum distributions and outages for digital wireless applications
    • A. A. Abu-Dayya and N. C. Beaulieu, "Comparison of methods of computing correlated lognormal sum distributions and outages for digital wireless applications," in Proc. IEEE VTC, 1994, pp. 175-179.
    • (1994) Proc. IEEE VTC , pp. 175-179
    • Abu-Dayya, A.A.1    Beaulieu, N.C.2
  • 5
    • 1842678670 scopus 로고    scopus 로고
    • Broad distribution effects in sums of lognormal random variables
    • Apr
    • M. Romeo, V. Da Costa, and F. Bardou, "Broad distribution effects in sums of lognormal random variables," Eur. Phys. J. B, vol. 32, no. 4, pp. 513-525, Apr. 2003.
    • (2003) Eur. Phys. J. B , vol.32 , Issue.4 , pp. 513-525
    • Romeo, M.1    Da Costa, V.2    Bardou, F.3
  • 6
    • 0002021156 scopus 로고
    • On lognormal random variables - I: The characteristic function
    • R. B. Leipnik, "On lognormal random variables - I: The characteristic function," J. Aust. Math. Soc. Ser. B, vol. 32, no. 3, pp. 327-347, 1991.
    • (1991) J. Aust. Math. Soc. Ser. B , vol.32 , Issue.3 , pp. 327-347
    • Leipnik, R.B.1
  • 7
    • 1942485934 scopus 로고    scopus 로고
    • An optimal lognormal approximation to lognormal sum distributions
    • Mar
    • N. C. Beaulieu and Q. Xie, "An optimal lognormal approximation to lognormal sum distributions," IEEE Trans. Commun., vol. 53, no. 2, pp. 479-489, Mar. 2004.
    • (2004) IEEE Trans. Commun , vol.53 , Issue.2 , pp. 479-489
    • Beaulieu, N.C.1    Xie, Q.2
  • 8
    • 0035363282 scopus 로고    scopus 로고
    • Bounds on the distribution of a sum of independent lognormal random variables
    • Jun
    • S. B. Slimane, "Bounds on the distribution of a sum of independent lognormal random variables," IEEE Trans. Commun., vol. 49, no. 6, pp. 975-978, Jun. 2001.
    • (2001) IEEE Trans. Commun , vol.49 , Issue.6 , pp. 975-978
    • Slimane, S.B.1
  • 9
    • 0027543095 scopus 로고
    • Statistical analysis of the power sum of multiple correlated log-normal components
    • Feb
    • A. Safak, "Statistical analysis of the power sum of multiple correlated log-normal components," IEEE Trans. Veh. Technol., vol. 42, no. 1, pp. 58-61, Feb. 1993.
    • (1993) IEEE Trans. Veh. Technol , vol.42 , Issue.1 , pp. 58-61
    • Safak, A.1
  • 10
    • 0016934803 scopus 로고
    • Sums of independent lognormally distributed random variables
    • Mar
    • R. Barakat, "Sums of independent lognormally distributed random variables," J. Opt. Soc. Amer., vol. 66, no. 3, pp. 211-216, Mar. 1976.
    • (1976) J. Opt. Soc. Amer , vol.66 , Issue.3 , pp. 211-216
    • Barakat, R.1
  • 11
    • 0033720612 scopus 로고    scopus 로고
    • Statistics of the sum of lognormal variables in wireless communications
    • P. Cardieri and T. S. Rappaport, "Statistics of the sum of lognormal variables in wireless communications," in Proc. IEEE VTC, 2000, vol. 3, pp. 1823-1827.
    • (2000) Proc. IEEE VTC , vol.3 , pp. 1823-1827
    • Cardieri, P.1    Rappaport, T.S.2
  • 12
    • 0028375822 scopus 로고
    • Outage probabilities in the presence of correlated lognormal interferers
    • Feb
    • A. A. Abu-Dayya and N. C. Beaulieu, "Outage probabilities in the presence of correlated lognormal interferers," IEEE Trans. Veh. Technol., vol. 43, no. 1, pp. 164-173, Feb. 1994.
    • (1994) IEEE Trans. Veh. Technol , vol.43 , Issue.1 , pp. 164-173
    • Abu-Dayya, A.A.1    Beaulieu, N.C.2
  • 13
    • 0029488390 scopus 로고
    • Estimating the distribution of a sum of independent lognormal random variables
    • Dec
    • N. C. Beaulieu, A. A. Abu-Dayya, and P. J. McLane, "Estimating the distribution of a sum of independent lognormal random variables," IEEE Trans. Commun., vol. 43, no. 12, pp. 2869-2873, Dec. 1995.
    • (1995) IEEE Trans. Commun , vol.43 , Issue.12 , pp. 2869-2873
    • Beaulieu, N.C.1    Abu-Dayya, A.A.2    McLane, P.J.3
  • 14
    • 0032392567 scopus 로고    scopus 로고
    • Asian options, the sum of lognormals and the reciprocal gamma distribution
    • Sep
    • M. Milevsky and S. Posner, "Asian options, the sum of lognormals and the reciprocal gamma distribution," J. Financ. Quant. Anal., vol. 33, no. 3, pp. 409-422, Sep. 1998.
    • (1998) J. Financ. Quant. Anal , vol.33 , Issue.3 , pp. 409-422
    • Milevsky, M.1    Posner, S.2
  • 15
    • 0035248585 scopus 로고    scopus 로고
    • Simple and accurate methods for outage analysis in cellular mobile radio systems - A unified approach
    • Feb
    • A. Annamalai, C. Tellambura, and V. K. Bhargava, "Simple and accurate methods for outage analysis in cellular mobile radio systems - A unified approach," IEEE Trans. Commun., vol. 49, no. 2, pp. 303-316, Feb. 2001.
    • (2001) IEEE Trans. Commun , vol.49 , Issue.2 , pp. 303-316
    • Annamalai, A.1    Tellambura, C.2    Bhargava, V.K.3
  • 16
    • 0000446665 scopus 로고
    • A stochastic model for determining the economic prospects of petroleum exploration over large regions
    • Jun
    • R. S. Uhler and P. G. Bradley, "A stochastic model for determining the economic prospects of petroleum exploration over large regions," J. Amer. Stat. Assoc., vol. 65, no. 330, pp. 623-630, Jun. 1970.
    • (1970) J. Amer. Stat. Assoc , vol.65 , Issue.330 , pp. 623-630
    • Uhler, R.S.1    Bradley, P.G.2
  • 17
    • 0014782106 scopus 로고
    • Tail of the distribution of sums of log-normal variates
    • May
    • W. A. Janos, "Tail of the distribution of sums of log-normal variates," IEEE Trans. Inf. Theory, vol. IT-16, no. 3, pp. 299-302, May 1970.
    • (1970) IEEE Trans. Inf. Theory , vol.IT-16 , Issue.3 , pp. 299-302
    • Janos, W.A.1
  • 18
    • 0032639316 scopus 로고    scopus 로고
    • Co-channel interference analysis for mobile radio suffering lognormal shadowed Nakagami fading
    • Feb
    • Q. T. Zhang, "Co-channel interference analysis for mobile radio suffering lognormal shadowed Nakagami fading," Proc. Inst. Electr. Eng. - Commun., vol. 146, no. 1, pp. 49-54, Feb. 1999.
    • (1999) Proc. Inst. Electr. Eng. - Commun , vol.146 , Issue.1 , pp. 49-54
    • Zhang, Q.T.1
  • 19
    • 0031258299 scopus 로고    scopus 로고
    • Capacity design and performance of call admission control in cellular CDMA systems
    • Oct
    • Y. Ishikawa and N. Umeda, "Capacity design and performance of call admission control in cellular CDMA systems," IEEE J. Sel. Areas Commun., vol. 15, no. 8, pp. 1627-1635, Oct. 1997.
    • (1997) IEEE J. Sel. Areas Commun , vol.15 , Issue.8 , pp. 1627-1635
    • Ishikawa, Y.1    Umeda, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.