Correction of G-M Counter Data

Kurbatov, J. D.; Mann, Henry B.

doi:10.1103/physrev.68.40

Cited by 17 publications

(8 citation statements)

References 4 publications

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“…Occasionally it is necessary to derive bounds to H(t) -ftClt, to discover how good the approximation ftClt is. This problem has been discussed by Kurbatov and Mann (1945) and by Mann (1946) in special cases, but the best bounds are those derived by Feller (1948). Feller remarks that if B(t) is any function~F(t) and if A(t) is the solu-tion to SMITH-Renewal Theory and Its Ramifications t…”

Section: Asymptotic Distributions and Approximationsmentioning

confidence: 99%

Renewal Theory and its Ramifications

Smith¹

1958

Journal of the Royal Statistical Society Series B: Statistical Methodology

363

148

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SUMMARY This is an expository article on the theoretical and some computational aspects of renewal theory. §1 describes basic theory, including Blackwell's theorem; renewal density theorem; cumulants and asymptotic normality of the number of renewals in (0, t); and the integral equations of renewal theory. §2 is concerned with asymptotic behaviour of processes having an embedded renewal process: regenerative stochastic processes; semi‐Markov processes; cumulative processes. §3 discusses infinite sums and products connected with a renewal process which arise out of the study of electronic particle counters, and an integral equation connected with the infinite products. §4 describes some generalizations of renewal theory that have been proposed by different writers, and also “infinitesimal” renewal processes. Illustrative examples are drawn from biology and from the theories of queues, dams, and electronic counters; a table summarizing some of the papers on the last subject is given.

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Section: Asymptotic Distributions and Approximationsmentioning

confidence: 99%

Renewal Theory and its Ramifications

Smith¹

1958

Journal of the Royal Statistical Society Series B: Statistical Methodology

363

148

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“…Kurbatov ve arkadaşları tarafından istatistiksel yaklaşım kullanılarak GeigerMuller sayıcıları için bir düzeltme önerildi (Kurbatov ve Mann, 1945). Kaynaktan yayınlanan fotonların tümünün dedektör tarafından yakalandığını ve sayma sistemine kayıpsız gönderildiğini varsayılsın.…”

Section: Teorik çAlışmaunclassified

“…Bu durumda (t, t+dt) aralığı boyunca dedektör tarafından yakalanan ve sayma sistemine gönderilen fotonların olasılığı a(t)dt olacaktır. Burada P(t), t'nin sürekli bir fonksiyonudur (Kurbatov ve Mann, 1945). Dedektör tarafından bir fotonun alınıp sayma sistemine gönderilmesi için gerek ve yeter şartlar şu şekilde ifade edilebilir: 1) Bir foton (t, t+dt) zaman aralığında dedektör tarafından sayma sistemine gönderilir.…”

Section: Teorik çAlışmaunclassified

X ve Gama-Işını Dedektörlerinde Ölü Zaman Düzeltmesi - Kısım 2-Diferansiyel Düzeltme

Karabıdak¹

2014

Gümüşhane Univ. Fen Bilim. Enst. Derg.

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“…Since these are independent events, the realization probability of one counting in the time dt becomes. Then, since only one counting can occur in the interval (t − τ,t ), the probability of one counting in that interval is [15,31]:…”

Section: Background Of the Differential Dead-time Correction Modelmentioning

confidence: 99%

“…Kurbatov et al [15,31] proposed a correction method that included to a statistical approach for Geiger-Muller counter. All of photons emitted from source are assumed to be caught by the detector and transmitted to counting system without loss.…”

Section: Background Of the Differential Dead-time Correction Modelmentioning

confidence: 99%

Dead Time in the Gamma‐Ray Spectrometry

Karabıdak¹

2017

New Insights on Gamma Rays

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A review of studies of the dead time correction on gamma-ray spectroscopy is presented. Compensate for counting losses due to system dead time is a vital step for quantitative and qualitative analysis. The gamma-ray spectroscopy system consisting of electronic devices are used for detection of radiation due to gamma rays. The dead time of the spectroscopy system is based on time limitations of these electronic devices. Firstly, a new model for determination of this electronic dead time is proposed. Secondly, two alternative methods suggested for the correction of this electronic dead-time losse.

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Correction of G-M Counter Data

Cited by 17 publications

References 4 publications

Renewal Theory and its Ramifications

Renewal Theory and its Ramifications

X ve Gama-Işını Dedektörlerinde Ölü Zaman Düzeltmesi - Kısım 2-Diferansiyel Düzeltme

Dead Time in the Gamma‐Ray Spectrometry

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