On Reconstitution of Smooth Distributions from Grouped Data

Author(s):  
К.К. Авилов ◽  
K.K. Avilov

In the paper, proposed is a simple nonparametric method of reconstitution of smooth distributions of additive quantities from grouped data. The method is based on the requirement of minimization of the norm of non-smoothness measure of the solution under the condition of exact equality of the group sums, which reduces the problem to the quadratic programming problem. The method was tested on the age-at-death data; its precision was shown to be comparable to and exceeding the precision of a method of other authors. After testing it on the cancer incidence data, some drawbacks and limitations of the nonparametric approach were determined. The advantages of the proposed method are algorithmic and computational simplicity, good flexibility of the mathematical model.




2011 ◽  
Vol 25 ◽  
pp. 595-628 ◽  
Author(s):  
Nadine Ouellette ◽  
Robert Bourbeau




2018 ◽  
Vol 13 (1) ◽  
Author(s):  
Mehdi Raei ◽  
Volker Johann Schmid ◽  
Behzad Mahaki

Cervical cancer in women is one of the most common cancers and breast cancer has grown dramatically in recent years. The purpose of this study was to map the incidence of breast and cervix uteri cancer among Iranian women over a 6-year period (2004-2009) searching for trend changes and risk factors. Cancer incidence data were extracted from the annual reports of the National Cancer Registry in Iran. Hierarchical Bayesian models, including random spatial and temporal effects was utilized together with bivariate, spatio-temporal shared component modelling. The provinces Tehran, Isfahan, Mazandaran and Gilan were found to have the highest relative risk (RR) of breast cancer, while the highest RR of cervix uteri cancer was observed in Tehran, Golestan, Khuzestan and Khorasan Razavi. Shared risk factors (smoking component) between the two cancers were seen to have the highest influence in Tehran, Khorasan Razavi, Yazd, Isfahan, Golestan, Khuzestan, Fars and Mazandaran, while the least were observed in Kohgiluyeh Boyerahmad. Apparent differences and distinctions between high-risk and low-risk provinces reveal a pattern of obvious dispersion for these cancers in Iran that should be considered when allocating healthcare resources and services in different areas.



2011 ◽  
Vol 31 (2) ◽  
pp. 71-78 ◽  
Author(s):  
J Nowatzki ◽  
B Moller ◽  
A Demers

Introduction Projecting the burden of cancer is important for evaluating prevention strategies and for administrative planning at cancer facilities. Methods We projected cancer incidence and counts for the population of Manitoba using population projections from the Manitoba Bureau of Statistics for the years 2006 to 2025 and cancer incidence data from the Manitoba Cancer Registry for the years 1976 to 2005. Data were analyzed using a version of the age-period-cohort model with recommended modifications that was developed and tested in the Nordic countries. Results The overall incidence of cancer in Manitoba is not projected to change substantially from 2006 to 2025. However, the age-standardized incidence for lung cancer is expected to decrease, particularly for males, highlighting the importance of tobacco prevention. The total number of new cancer cases per year is expected to increase 36% over the projection period, attributable primarily to demographic changes. Conclusion As the population of Manitoba increases, resource and infrastructure planning will need to account for the expected increase in cancer cases.





2009 ◽  
Vol 27 (15_suppl) ◽  
pp. 1529-1529
Author(s):  
G. Pfeiler ◽  
C. Glatz ◽  
R. Königsberg ◽  
C. Vutuc ◽  
E. Kubista ◽  
...  

1529 Background: The Women's Health Initiative trial showed a significant increase in breast cancer risk among women using HRT. This publication led to a dramatic fall in HRT prescription worldwide. Several studies argued that the ensuing decline in breast cancer incidence among postmenopausal women was due to the reduced HRT prescriptions. We have investigated whether the strong decline in HRT prescription in Austrian women from 2002 onward was associated with a decrease in postmenopausal breast cancer incidence in Austria. Methods: Breast cancer incidence data were obtained from the National Austrian Cancer Registry. HRT prescription data were calculated using Pharmaceutical Benefits Scheme data. Hormone receptor expression data were taken from the pathology report of all patients with breast cancer, who were operated on at the Division of Special Gynecology, as well as the Department of Surgery, Medical University of Vienna (MUW), from 1998 to 2000, and 2005 to 2007, respectively. Chi-Square test was used to identify significant differences. Results: HRT prescription slightly increased from 1998 to 2000, but dramatically decreased by 70% after 2003, reaching a significantly lower level. When comparing breast cancer incidence data from 1999 and 2004, a nonsignificant trend toward a decreased incidence in 50- to 54-year-old women could be observed. Comparing predicted breast cancer incidence for 2004 with the actual incidence for 2004 in this group, a significant decrease could be demonstrated. Ten percent to 12% of all new breast cancers in Austria are treated at the MUW every year. Regarding histopathologic breast cancer parameters of patients treated at the MUW from 1998 to 2000 and 2005 to 2007, respectively, a nonsignificant decline of hormone receptor positive tumors in 50- to 54-year-old patients with breast cancer could be observed. Conclusions: The decline of HRT use in Austria is associated with a reduction in breast cancer incidence in postmenopausal women. Our data underline the association between HRT and breast cancer. No significant financial relationships to disclose.



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