Uniform in bandwidth exact rates for a class of kernel estimators

Given an i.i.d sample $(Y_i,Z_i)$, taking values in \RRR^{d'}\times \RRR^d, we consider a collection Nadarya-Watson kernel estimators of the conditional expectations \EEE(+d_g(z)\mid Z=z), where $z$ belongs to a compact set H\subset \RRR^d, $g$ a Borel function on \RRR^{d'} and $c_g(\cdot),d_g(\cdot)$ are continuous functions on \RRR^d. Given two bandwidth sequences h_n<\wth_n fulfilling mild conditions, we obtain an exact and explicit almost sure limit bounds for the deviations of these estimators around their expectations, uniformly in g\in\GG,\;z\in H and h_n\le h\le \wth_n under mild conditions on the density $f_Z$, the class \GG, the kernel $K$ and the functions $c_g(\cdot),d_g(\cdot)$. We apply this result to prove that smoothed empirical likelihood can be used to build confidence intervals for conditional probabilities \PPP(Y\in C\mid Z=z), that hold uniformly in z\in H,\; C\in \CC,\; h\in [h_n,\wth_n]. Here \CC is a Vapnik-Chervonenkis class of sets.Comment: Published in the Annals of the Institute of Statistical Mathematics Volume 63, p. 1077-1102 (2011

Intramedullary non-specific inflammatory lesion of thoracic spine: A case report

<p>Abstract</p> <p>Background</p> <p>There are several non-neoplastic lesions which mimick intramedullary spinal cord neoplasm in their radiographic and clinical presentation. These can be classified as either infectious (TB, fungal, bacterial, parasytic, syphilis, CMV, HSV) and non-infectious (sarcoid, MS, myelitis, ADEM, SLE) inflammatory lesions, idiopathic necrotizing myelopathy, unusual vascular lesions and radiation myelopathy. Although biopsy may be indicated in many cases, an erroneous diagnosis of intramedullary neoplasm can often be eliminated pre-operatively.</p> <p>Case description</p> <p>the authors report a very rare case of intramedullary non-specific inflammatory lesion of unknown origin, without signs of infection or demyelinization, in a woman who showed no other evidence of systemic disease.</p> <p>Conclusions</p> <p>Intramedullary lesions that mimick a tumor can be various and difficult to interpret. Preoperative MRI does not allow a certain diagnosis because these lesions have a very similar signal intensity pattern. Specific tests for infective pathologies are useful for diagnosis, but histological examination is essential for establishing a certain diagnosis. In our case the final histological examination and the specific tests that we performed have not cleared our doubts regarding the nature of the lesion that remains controversial.</p

A multi-dimensional statistical rainfall threshold for deep landslides based on groundwater recharge and support vector machines

International audienceThe rainfall threshold determination is widely used for estimating the minimum critical rainfall amount which may trigger slope failure. The aim of this study was to develop an objective approach for the determination of a statistical rainfall threshold of a deep-seated landslide. The determination is based on recharge estimation and a multidimensional rainfall threshold. This new method is compared with precipitation and with a conventional ‘two-dimensional’ rainfall threshold. The method is designed to be semiautomatic, enabling an eventual integration into a landslide warning system. The method consists in two independent parts: (i) unstable event identification based on displacement time series and (ii) multi-dimensional rainfall threshold determination based on support vector machines. The method produces very good results and constitutes an appropriate tool to define an objective and optimal rainfall threshold. In addition to shortened computation times, the non-necessity of pre-requisite hypotheses and a fully automatic implementation, the newly introduced multi-dimensional approach shows performances similar to the classical two-dimensional approach. This shows its relevance and its suitability to define a rainfall threshold. Lastly, this study shows that the recharge is a relevant parameter to be taken into account for deep-seated rainfall-induced landslides. Using the recharge rather than the precipitation significantly improves the delineation of arainfall threshold separating stable and unstable events. The performance and accuracy of the multi-dimensional rainfall threshold developed for the Se´chilienne landslide make it an appropriate method for integration into the present-day landslide warning system

Oral involvement in sarcoidosis: report of 12 cases.

International audienceAIM: To assess the clinical features, treatment and outcome of oral sarcoidosis and to determine whether oral involvement is associated with a particular clinical phenotype of sarcoidosis. DESIGN: Multicentric retrospective study. METHODS: Retrospective chart review. Each patient was matched with four controls. RESULTS: Twelve patients (9 women, 3 men) were identified. Their median age at sarcoidosis diagnosis was 38 years. Oral involvement was the first clinical evidence of sarcoidosis in seven cases and was a relapse symptom in five cases. Clinical presentations were nodules (n = 7) or ulcers (n = 5) and were mostly solitary. The tongue was the commonest site affected (n = 4), followed by lips (n = 3), oral mucosa (n = 2), palate (n = 2) and gingiva (n = 1). Patients with oral sarcoidosis were significantly younger and had more frequent lacrimal or salivary glands and upper airway tract clinical involvement than the controls; increased angiotensin-converting enzyme was less frequent in oral sarcoidosis. Multiple treatments of oral sarcoidosis were used: no treatment (n = 3), surgery (n = 2), corticosteroids (n = 7), hydroxychloroquine (n = 3), methotrexate (n = 2), doxycycline (n = 1). Methotrexate was efficient in one patient, hydroxychloroquine showed benefit in only 1 out of 3 patients. Three patients presented oral relapses. After a mean follow-up of 6 years, 10 patients experienced a complete (n = 7) or partial (n = 3) remission of oral sarcoidosis; stability was observed in the remaining two cases. CONCLUSION: Although oral manifestations of sarcoidosis are unusual, physicians should be aware that this specific localization is frequently the first manifestation of the disease. Treatment modalities range from observation in asymptomatic patients to immunosuppressants for severe involvement

Sarcoidosis in the National Veteran Population

PURPOSE: To describe the distribution of ocular sarcoidosis in the veteran population and to determine the association between ocular disease and all-cause mortality. DESIGN: Retrospective review. METHODS: The Veterans Health Administration National Patient Care Database information on medical diagnoses, date of diagnosis, age, race, gender, and Veterans Administration medical center station number for site-specific calculations for fiscal years 2010 through 2012 was collected. Mortality data were obtained from the Beneficiary Identification Records Locator Subsystem. The patient cohort was identified with a primary diagnosis of sarcoidosis using International Classification of Disease, ninth edition, code of 135 in outpatient treatment files for the study period. The sarcoidosis patients were divided into those with uveitis or orbital inflammation (defined as ocular inflammation for this study) and those without uveitis or orbital inflammation. Survival analysis was performed using the Cox proportional hazard method. MAIN OUTCOME MEASURE: Association between ocular inflammation and 1-year mortality. RESULTS: Of 15 130 subjects with sarcoidosis, 3364 (22.2%) were evaluated in an eye clinic within a Veterans Administration Medical Center. Most patients were diagnosed with anterior uveitis (n = 1013; 80.7% of ocular inflammation), and the least common diagnosis was orbital granuloma (n = 28; 2.2% of ocular inflammation). Male gender was protective to the development of uveitis (estimate, 0.76; 95% confidence interval, 0.65–0.88; P = 0.0005). The overall 1-year all-cause mortality for all patients with a diagnosis of sarcoidosis was 2.0%. Ocular inflammation was associated with a decrease in 1-year all-cause mortality (simple model: hazard ratio, 0.36; P = 0.0015; complex model: hazard ratio, 0.35; P = 0.013). CONCLUSIONS: Veterans with ocular inflammation had significantly lower 1-year all-cause mortality than those without documented ocular inflammation. The reason for this finding remains to be established

Cryptococcosis in sarcoidosis: cryptOsarc, a comparative study of 18 cases.

International audienceAIM: To describe the main characteristics and the treatment of cryptococcosis in patients with sarcoidosis. DESIGN: Multicenter study including all patients notified at the French National Reference Center for Invasive Mycoses and Antifungals. METHODS: Retrospective chart review. Each case was compared with two controls without opportunistic infections. RESULTS: Eighteen cases of cryptococcosis complicating sarcoidosis were analyzed (13 men and 5 women). With 2749 cases of cryptococcosis registered in France during the inclusion period of this study, sarcoidosis accounted for 0.6% of all the cryptococcosis patients and for 2.9% of the cryptococcosis HIV-seronegative patients. Cryptococcosis and sarcoidosis were diagnosed concomitantly in four cases; while sarcoidosis was previously known in 14/18 patients, including 12 patients (67%) treated with steroids. The median rate of CD4 T cells was 145 per mm(3) (range: 55-1300) and not related to steroid treatment. Thirteen patients had cryptococcal meningitis (72%), three osteoarticular (17%) and four disseminated infections (22%). Sixteen patients (89%) presented a complete response to antifungal therapy. After a mean follow-up of 6 years, no death was attributable to cryptococcosis. Extra-thoracic sarcoidosis and steroids were independent risk factors of cryptococcosis in a logistic regression model adjusted with the sex of the patients. CONCLUSIONS: Cryptococcosis is a significant opportunistic infection during extra-thoracic sarcoidosis, which occurs in one-third of the cases in patients without any treatment; it is not associated to severe CD4 lymphocytopenia and has a good prognosis